Slicing 3D Figures Worksheet

Slicing 3D Figures

Read each question carefully and determine the two-dimensional shape that results from slicing the given three-dimensional figure. Draw the resulting cross-section if requested.

1. What 2D shape is formed when you slice a rectangular prism parallel to its base?

2. If you slice a square pyramid horizontally, what shape is the cross-section?

3. A slice through a cylinder parallel to its base will always produce a  .

4. When you slice a rectangular pyramid through its apex and perpendicular to its base, the cross-section is a  .

5. Consider a cube. Describe and draw the cross-section if you slice it diagonally through opposite vertices.

6. Imagine a cone. What shape is the cross-section if you slice it perpendicular to its base, through the apex?

7. A slice through a sphere will always result in a circular cross-section.

8. A chef slices a cucumber (which can be modeled as a cylinder) into thin, round pieces for a salad. What kind of slice is the chef making relative to the cucumber's length?

9. You are cutting a block of cheese (a rectangular prism) to make small cubes. Describe two different ways you could slice the cheese to get a square cross-section.