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Back to Exercise: Describe the two-dimensional figures that result from slicing three-dimensional figures

Cross-Sections of Three-Dimensional Figures

For each problem, read the description of the solid and the cut carefully before naming the cross-section. Drawing a quick sketch may help.

Grade 7·21 problems·~35 min·Common Core Math - Grade 7·standard·7-g-a-3
Work through problems with immediate feedback
A

Recall / Warm-Up

1.

Which polygon has exactly four sides and four right angles?

2.

Which 3D figure has a rectangular base and triangular faces that all meet at a single point above the base?

3.

Which polygon has exactly two pairs of parallel sides but does NOT necessarily have four right angles?

B

Fluency Practice

Oblique drawing of a rectangular prism with a horizontal cutting plane highlighted at mid-height, connected by an arrow to an isolated cross-section shape.
1.

A right rectangular prism is cut with a horizontal plane parallel to its base. What shape is the cross-section?

Oblique drawing of a rectangular prism with a vertical cutting plane parallel to the front face highlighted, connected by an arrow to an isolated cross-section shape.
2.

A right rectangular prism is cut with a vertical plane perpendicular to the base and parallel to the front face. What shape is the cross-section?

Oblique drawing of a rectangular pyramid with a horizontal cutting plane at mid-height highlighted, connected by an arrow to an isolated cross-section shape.
3.

A right rectangular pyramid is cut with a horizontal plane parallel to the base, halfway between the base and the apex. What shape is the cross-section?

Oblique drawing of a rectangular pyramid with a vertical cutting plane through the apex highlighted, connected by an arrow to an isolated cross-section shape.
4.

A right rectangular pyramid is cut with a vertical plane that passes exactly through the apex and through the midpoints of two opposite base edges. What shape is the cross-section?

5.

A rectangular prism is sliced with a diagonal cut that is not parallel to any of its faces. The cross-section is a   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

Shape name:

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