Category
stringclasses 4
values | Task
stringclasses 12
values | Level
stringclasses 5
values | Image_id
stringlengths 1
51
| Question
stringclasses 197
values | Choices
listlengths 4
4
| Answer
stringclasses 4
values | Explanation
stringlengths 52
839
|
|---|---|---|---|---|---|---|---|
VisualPenetration
|
CrossSection
|
Level1
|
0-cube-frustum_circle-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism, a circular frustum, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
1-pyramid_triangle-frustum_triangle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a triangular frustum, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
2-frustum_square-frustum_triangle-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square frustum, a triangular frustum, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
3-frustum_triangle-cube-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum, a square prism, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
4-frustum_circle-cylinder-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum, a cylinder, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
5-frustum_circle-frustum_square-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum, a square frustum, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
6-pyramid_square-cone-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a cone, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
7-cylinder-frustum_triangle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cylinder, a triangular frustum, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
8-pyramid_triangle-cone-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a cone, and a square prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
9-frustum_triangle-cylinder-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum, a cylinder, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
10-cube-cylinder-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism, a cylinder, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
11-pyramid_triangle-frustum_circle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a circular frustum, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
12-cube-frustum_circle-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism, a circular frustum, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
13-pyramid_square-triangular_prism-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a triangular prism, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
14-pyramid_triangle-pyramid_square-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a square pyramid, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
15-cone-cylinder-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a cylinder, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
16-cone-pyramid_triangle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a triangular pyramid, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
17-pyramid_triangle-pyramid_square-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a square pyramid, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
18-pyramid_triangle-cube-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a square prism, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
19-pyramid_square-cylinder-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a cylinder, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
20-cone-frustum_circle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a circular frustum, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
21-cone-triangular_prism-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a triangular prism, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
22-frustum_square-cube-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square frustum, a square prism, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
23-cylinder-frustum_circle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cylinder, a circular frustum, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
24-pyramid_square-pyramid_triangle-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a triangular pyramid, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
25-pyramid_square-pyramid_triangle-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a triangular pyramid, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
26-cylinder-frustum_triangle-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cylinder, a triangular frustum, and a square prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
27-triangular_prism-frustum_square-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular prism, a square frustum, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
28-pyramid_triangle-triangular_prism-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a triangular prism, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
29-cone-frustum_square-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a square frustum, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
30-cone-pyramid_square-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a square pyramid, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
31-pyramid_square-cone-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a cone, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
32-cylinder-frustum_triangle-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cylinder, a triangular frustum, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
33-pyramid_square-frustum_circle-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid, a circular frustum, and a square prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
34-cube-triangular_prism-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism, a triangular prism, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
35-pyramid_triangle-pyramid_square-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a square pyramid, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
36-cube-frustum_triangle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism, a triangular frustum, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
37-cone-pyramid_triangle-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a triangular pyramid, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
38-cube-frustum_circle-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism, a circular frustum, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level1
|
39-cone-pyramid_square-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a square pyramid, and a square prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
0-cone-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone on top of a square prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
1-frustum_square-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square frustum on top of a square prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
2-triangular_prism-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular prism on top of a triangular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
3-pyramid_square-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the XZ plane and rotated 45 degrees around the y-axis.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
4-triangular_prism-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular prism on top of a circular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'C': 'Option C is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 135 degrees around the x-axis.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
5-frustum_circle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
6-pyramid_triangle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
7-cone-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone on top of a square prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
8-pyramid_square-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square pyramid on top of a triangular prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
9-cone-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone on top of a circular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
10-frustum_circle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
11-frustum_circle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the XZ plane and rotated 45 degrees around the y-axis.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
12-triangular_prism-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular prism on top of a square prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
13-frustum_triangle-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
14-cube-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism on top of a square frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the XZ plane and rotated 45 degrees around the y-axis.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
15-cylinder-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cylinder on top of a triangular prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
16-triangular_prism-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular prism on top of a triangular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
17-cube-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism on top of a triangular prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section made by a plane perpendicular to the XY plane and rotated 45 degrees around the z-axis.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
18-cube-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism on top of a circular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
19-frustum_circle-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum on top of a triangular prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
20-cone-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone on top of a square frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
21-cone-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone on top of a cylinder. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
22-frustum_circle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum on top of a square frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
23-frustum_triangle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum on top of a square frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
24-frustum_square-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square frustum on top of a triangular prism. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
25-pyramid_triangle-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid on top of a triangular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 135 degrees around the x-axis.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
26-frustum_triangle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum on top of a square frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 135 degrees around the x-axis.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
27-cube-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a square prism on top of a triangular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
28-cone-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone on top of a circular frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
29-frustum_triangle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum on top of a square frustum. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
30-frustum_triangle-cylinder-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular frustum, a cylinder, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section made by a plane perpendicular to the XZ plane and rotated 45 degrees around the y-axis.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
31-frustum_circle-cube-triangular_prism
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum, a square prism, and a triangular prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
32-frustum_circle-triangular_prism-cube
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum, a triangular prism, and a square prism from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
33-cone-triangular_prism-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a triangular prism, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section made by a plane perpendicular to the XY plane and rotated 45 degrees around the z-axis.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
34-cone-cube-cylinder
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a square prism, and a cylinder from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 45 degrees around the x-axis.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
35-cone-frustum_circle-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a circular frustum, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
D
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'C': 'Option C is incorrect because it is the cross-section made by a plane perpendicular to the YZ plane and rotated 135 degrees around the x-axis.', 'D': 'Option D is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
36-pyramid_triangle-frustum_triangle-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a triangular pyramid, a triangular frustum, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
B
|
{'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'B': 'Option B is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
37-cylinder-frustum_triangle-frustum_square
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cylinder, a triangular frustum, and a square frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
C
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is incorrect because it is the cross-section of the shape made by a plane parallel to the YZ plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
38-frustum_circle-frustum_square-frustum_triangle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a circular frustum, a square frustum, and a triangular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'D': 'Option D is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CrossSection
|
Level2
|
39-cone-cylinder-frustum_circle
|
The top row shows the combined shape viewed from two different angles. The shape consists of a cone, a cylinder, and a circular frustum from top to bottom. Which of the following images cannot be a cross-section of the shape? Please answer from options A, B, C, or D.
|
[
"A",
"B",
"C",
"D"
] |
A
|
{'D': 'Option D is incorrect because it is the cross-section made by a plane perpendicular to the XZ plane and rotated 45 degrees around the y-axis.', 'C': 'Option C is incorrect because it is the cross-section of the shape made by a plane parallel to the XY plane.', 'B': 'Option B is incorrect because it is the cross-section of the shape made by a plane parallel to the XZ plane.', 'A': 'Option A is correct because the corresponding cross-section does not match the shape shown in the reference image.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
0-3-3-3-7
|
Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"5",
"All three other options are incorrect",
"7",
"8"
] |
C
|
{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
1-3-3-3-8
|
Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"10",
"9",
"6",
"All three other options are incorrect"
] |
B
|
{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
2-3-2-3-7
|
Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"10",
"7",
"All three other options are incorrect",
"5"
] |
B
|
{'ABCD': 'Given two views, at least 7 cubes and at most 8 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
3-3-3-2-5
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"4",
"All three other options are incorrect",
"5",
"3"
] |
C
|
{'ABCD': 'Given two views, at least 5 cubes and at most 5 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
4-3-3-3-9
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"All three other options are incorrect",
"7",
"9",
"16"
] |
C
|
{'ABCD': 'Given two views, at least 8 cubes and at most 12 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
5-3-3-2-10
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"7",
"All three other options are incorrect",
"14",
"10"
] |
D
|
{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
6-3-3-3-9
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"5",
"9",
"2",
"6"
] |
B
|
{'ABCD': 'Given two views, at least 9 cubes and at most 11 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
7-3-3-2-8
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"8",
"2",
"15",
"12"
] |
A
|
{'ABCD': 'Given two views, at least 8 cubes and at most 11 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
8-3-3-3-11
|
Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"13",
"11",
"10",
"9"
] |
C
|
{'ABCD': 'Given two views, at least 10 cubes and at most 14 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
9-1-3-2-4
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"All three other options are incorrect",
"4",
"10",
"8"
] |
B
|
{'ABCD': 'Given two views, at least 4 cubes and at most 6 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
10-3-2-2-4
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"2",
"4",
"7",
"8"
] |
B
|
{'ABCD': 'Given two views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
11-2-2-2-5
|
Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"7",
"5",
"6",
"3"
] |
C
|
{'ABCD': 'Given two views, at least 5 cubes and at most 6 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
12-1-3-2-4
|
Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"7",
"6",
"All three other options are incorrect",
"8"
] |
B
|
{'ABCD': 'Given two views, at least 4 cubes and at most 6 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
13-2-2-3-4
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"6",
"2",
"5",
"4"
] |
D
|
{'ABCD': 'Given two views, at least 4 cubes and at most 4 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
14-3-3-3-8
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"6",
"2",
"8",
"4"
] |
C
|
{'ABCD': 'Given two views, at least 8 cubes and at most 10 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
15-3-3-3-10
|
Given two views, how many cubes could be needed to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"2",
"5",
"15",
"10"
] |
D
|
{'ABCD': 'Given two views, at least 9 cubes and at most 13 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
16-3-3-3-8
|
Given two views, what is the maximum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"10",
"7",
"6",
"9"
] |
D
|
{'ABCD': 'Given two views, at least 7 cubes and at most 9 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
17-1-3-3-6
|
Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"3",
"5",
"8",
"4"
] |
B
|
{'ABCD': 'Given two views, at least 5 cubes and at most 9 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
18-3-2-3-8
|
Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"10",
"11",
"8",
"7"
] |
C
|
{'ABCD': 'Given two views, at least 8 cubes and at most 9 cubes are required to satisfy the constraints.'}
|
VisualPenetration
|
CubeCounting
|
Level0
|
19-2-3-2-7
|
Given two views, what is the minimum number of cubes required to satisfy the constraints shown in the images? Please answer from options A, B, C, or D.
|
[
"6",
"9",
"7",
"8"
] |
A
|
{'ABCD': 'Given two views, at least 6 cubes and at most 8 cubes are required to satisfy the constraints.'}
|
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