# ACT Mathematics: Solid Geometry

This is an MCQ-based quiz on the topic of ACT Mathematics: Solid Geometrya.

This set of MCQs helps you brush up on the important mathematics topic and prepare you to dive into skill practice and expand your knowledge to tackle the question and answer it carefully.

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A pyramid is placed inside a cube so that they share a base and height. If the surface area of the cube is , what is the volume of the pyramid, in square feet?

216

225

729

243

A pyramid is placed inside a cube so that they share a base and height. If the surface area of the cube is , what is the volume of the pyramid, in square feet?

216

225

729

243

Troy's company manufactures dice that are shaped like cubes and have side lengths of . If the plastic needed to make the dice costs \$0.10 per cubic centimeter, how much does it cost Troy to make one die?

0.4

0.6

0.8

1.6

Susan bought a chocolate bar that came in a container shaped like a triangular prism shown below. If the container is completely filled with chocolate, in cubic inches, what volume of chocoate did Susan buy?

78

96

112

56

The height of a box is twice its width and half its length. If the volume of the box is 64 yd^3, what is the length of the box?

4

2

6

8

The tent shown below is in the shape of a triangular prism. What is the volume of this tent in cubic feet?

360

120

80

240

The volume of the right triangular prism is 120. Find the value of x.

3

4

2

6

A cube has a surface area of . What is its volume?

125

300

1000

225

Matt baked a rectangular cake for his mom's birthday. The cake was 15 inches long, 12 inches wide, and 4 inches high. If he cuts the cake into pieces that are 3 inches long, 2 inches wide, and 4 inches high, how many pieces of cake can he cut?

30

28

40

24

Roberto has a swimming pool that is in the shape of a rectangular prism. His swimming pool is 25 meters wide, 10 meters long, and 3 meters deep. He needs to fill up the pool for summer, and his hose fills at a rate of 5 cubic meters per hour. How many hours will it take for Roberto to fill up the swimming pool?

150

75

50

100

Quiz/Test Summary
Title: ACT Mathematics: Solid Geometry
Questions: 10
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