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Back to Exercise: Cross-sections of solids

Cross-Sections of Solids

Grade 10·21 problems·~30 min·ACT Math·topic·act-geo-3d-cross
Work through problems with immediate feedback
A

Recall / Warm-Up

1

Which of the following is a two-dimensional shape?

2

A rectangular prism has how many faces?

3

What is a cross-section of a 3D solid?

B

Fluency Practice

Cylinder with a horizontal cutting plane perpendicular to its axis
1

A horizontal plane cuts through a cylinder perpendicular to its axis. What is the shape of the cross-section?

2

A vertical plane cuts through a cylinder parallel to the cylinder's axis. What is the shape of the cross-section?

Cone with a horizontal cutting plane halfway up and an angled cutting plane shown for comparison
3

A plane cuts through a cone perpendicular to its axis (not through the apex). What is the shape of the cross-section?

4

A plane cuts diagonally through a rectangular prism, entering one edge and exiting the opposite edge. What is the shape of the cross-section?

5

A plane cuts through a sphere. What is the shape of the cross-section?

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