Back to Exercise: Cross-sections of solids

Cross-Sections of Solids

Grade 10·21 problems·~30 min·ACT Math·topic·act-geo-3d-cross
Printable layout
A

Recall / Warm-Up

1

Which of the following is a two-dimensional shape?

A.

Sphere

B.

Cylinder

C.

Ellipse

D.

Cone

2

A rectangular prism has how many faces?

A.

4

B.

5

C.

6

D.

8

3

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

A.

The shadow a solid casts on a wall

B.

The 2D shape formed when a flat plane cuts through the solid

C.

The total surface area of the solid

D.

The outline of the solid when viewed from above

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?

A.

Circle

B.

Rectangle

C.

Ellipse

D.

Oval

2

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

A.

Circle

B.

Rectangle

C.

Ellipse

D.

Triangle

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?

A.

Triangle

B.

Circle

C.

Ellipse

D.

Parabola

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?

A.

Ellipse

B.

Circle

C.

Rectangle

D.

Hexagon

5

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

A.

It depends on the angle of the cut

B.

Ellipse

C.

Circle

D.

Semicircle

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