Slicing 3D Figures Worksheet
Explore how different planes intersect with 3D figures to create 2D cross-sections.
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Slicing 3D Figures
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Read each question carefully and determine the 2D cross-section formed when a plane slices through the 3D figure. Sketch the cross-section where indicated.
1. What 2D shape is formed when a rectangular prism is sliced parallel to its base?
Triangle
Rectangle
Circle
Square
2. If a cone is sliced by a plane perpendicular to its base, passing through its apex, what shape is the cross-section?
Circle
Ellipse
Triangle
Parabola
3. Consider a cube with side length 5 cm. If a plane slices the cube diagonally through opposite vertices, what 2D shape is formed? What are its approximate dimensions?
4. Describe the cross-section formed when a sphere is sliced by a plane. Does the size of the cross-section change based on where the plane intersects the sphere? Explain your reasoning.
5. A plane slicing a cylinder parallel to its base will always produce a cross-section.
6. When a plane slices a square pyramid through its apex and perpendicular to its base, the cross-section will be a .
7. A cross-section of a triangular prism can be a rectangle.
True
False
8. It is possible to slice a cylinder to get a rectangular cross-section.
True
False
9. Sketch the cross-section formed when a plane slices the cylinder vertically through its center.
10. Sketch the cross-section formed when a plane slices a square pyramid parallel to its base.