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Back to Tutor Intake Assessment: Describe the two-dimensional figures that result from slicing three-dimensional figures

7.G.A.3 Tutor Intake -- Cross-Sections of Prisms and Pyramids

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Grade 7·7 problems·~9 min·Common Core Math - Grade 7·standard·7-g-a-3
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A

Concepts

1

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

2

A rectangular pyramid is sliced with a horizontal cut close to
its apex, then with another horizontal cut close to its base.
Why do these two cuts produce cross-sections of DIFFERENT sizes?

B

Procedures

1

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

2

A right rectangular prism is cut with a plane that is diagonal —
not parallel or perpendicular to any face. The cross-section
produced is a   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

shape name:
3

A right rectangular pyramid is cut with a plane parallel to its
base (a horizontal cut) partway up the pyramid. What shape is the
cross-section?

4

A right rectangular pyramid is cut with a vertical plane that
does NOT pass through the apex. The cross-section produced is a
  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

shape name:

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