Back to Exercise: Volume of prisms, cylinders, pyramids, cones, spheres

Volume of 3D Figures

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

Recall / Warm-Up

1

What is the area of a rectangle with length 12 cm and width 5 cm?

A.

17 cm²

B.

34 cm²

C.

60 cm²

D.

120 cm²

2

What is the area of a circle with radius 3 cm? Leave your answer in terms of π\pi.

A.

6π6\pi cm²

B.

9π9\pi cm²

C.

12π12\pi cm²

D.

27π27\pi cm²

3

Which formula gives the area of a triangle?

A.

A=bhA = bh

B.

A=12bhA = \frac{1}{2}bh

C.

A=πr2A = \pi r^2

D.

A=2b+2hA = 2b + 2h

B

Fluency Practice

1

A rectangular prism has length 10 cm, width 4 cm, and height 6 cm. What is the volume in cubic centimeters?

2

A triangular prism has a base triangle with base 8 in and height 3 in. The prism is 14 in long. What is the volume?

A.

336 in³

B.

168 in³

C.

112 in³

D.

84 in³

3

A cylinder has radius 7 cm and height 10 cm. What is the volume? Express your answer in terms of π\pi.

4

A cone has radius 6 cm and height 10 cm. What is the volume?

A.

360π360\pi cm³

B.

120π120\pi cm³

C.

60π60\pi cm³

D.

240π240\pi cm³

5

A square pyramid has base edge 8 m and height 9 m. What is the volume in cubic meters?

6

A sphere has radius 3 cm. What is the volume?

A.

36π36\pi cm³

B.

108π108\pi cm³

C.

18π18\pi cm³

D.

36π36\pi cm²

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