ACT Math : How to find the volume of a polyhedron

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #12 : Other Polyhedrons

In cubic feet, find the volume of the pentagonal prism illustrated below. The pentagon has an area of , and the prism has a height of .

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Possible Answers:

Correct answer:

Explanation:

For any prism, the volume is given by the following equation:

The question gives us the area of the base and the height.

Example Question #13 : Other Polyhedrons

If the side lengths of a cube are tripled, what effect will it have on the volume?

Possible Answers:

The volume will be  times as large.

The volume will be  times as large.

The volume will be  times as large.

The volume will be  times as large.

Correct answer:

The volume will be  times as large.

Explanation:

Start by taking a cube that is . The volume of this cube is .

Next, triple the sides of this cube so that it becomes . The volume of this cube is 

The volume of the new cube is  times as large as the original.

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