Slicing 3D Figures Worksheet
Explore cross-sections of three-dimensional figures with this Grade 7 math worksheet. Identify and describe the 2D shapes that result from slicing cubes, prisms, and pyramids.
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Slicing 3D Figures
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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?
Triangle
Square
Rectangle
Circle
2. If you slice a square pyramid horizontally, what shape is the cross-section?
Triangle
Square
Trapezoid
Pentagon
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.
Description:
Draw the cross-section:
6. Imagine a cone. What shape is the cross-section if you slice it perpendicular to its base, through the apex?
Description:
Draw the cross-section:
7. A slice through a sphere will always result in a circular cross-section.
True
False
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.