Slicing 3D Figures
Explore how different planes intersect 3D figures, creating various 2D cross-sections.
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Slicing 3D Figures Worksheet
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Read each question carefully and determine the shape of the cross-section formed when a plane intersects the given 3D figure. Draw the cross-section where indicated.
1. What is the shape of the cross-section when a plane slices a cylinder parallel to its base?
Rectangle
Triangle
Circle
Ellipse
2. A cube is sliced by a plane passing through three of its vertices, but not through any edges. What is the shape of the cross-section?
Square
Rectangle
Triangle
Pentagon
3. When a cone is sliced by a plane perpendicular to its base, the cross-section is a .
4. A plane slicing a sphere will always result in a cross-section.
5. Consider a rectangular prism. Describe and draw the cross-section formed when a plane slices through the prism diagonally from one top corner to the opposite bottom corner, passing through the interior.
6. A square pyramid is cut by a plane parallel to its base. Draw the resulting cross-section and label its shape.
7. It is possible to obtain a triangular cross-section from a cylinder.
True
False
8. A plane can intersect a triangular prism to form a hexagonal cross-section.
True
False
Match the 3D figure with a possible cross-section shape.
9. Cube
a. Circle
10. Cone
b. Triangle
11. Sphere
c. Pentagon
12. Cylinder
d. Rectangle