Volume on the ACT

A rectangular solid is 5 inches wide, 8 inches long, and 3 inches tall. What is the volume of this rectangular solid, in cubic inches?

• 16

• 43

• 64

• 65

• 120

Eliza's parents are installing an above-ground pool in their backyard. The pool is a right circular cylinder with a diameter of 18 feet and a height of 7 feet. Once her parents fill the pool, it will have a depth of 6 feet. What is the volume of water, to the nearest cubic foot, that will be in the pool once it is filled?

• 170

• 1,527

• 1,781

• 2,375

• 6,107

What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of 160,000 centimeters?

• 5

• 20

• 39

• 40

• 50

Cube A has side lengths that are 3 times as long as Cube B. How many times larger is the volume of Cube A compared to the volume of Cube B?

• 2

• 3

• 6

• 9

• 27

A large cube has edges that are twice as long as those of a small cube. If the edges of the small cube are 6 inches, how many more cubic inches is the volume of the large cube than the small cube?

• 8

• 216

• 432

• 1,512

• 1,728

There are two right circular cylinders. The large cylinder has a height of 2 times the size of the height of the small cylinder and a radius 3 times the size of the small cylinder. How many times larger is the volume of the large cylinder compared to the volume of the small cylinder?

• 2

• 3

• 5

• 6

• 18

While baking a cake, Kevin used 82.5 cubic inches of frosting to cover the top. If this frosting were spread in an even layer over the top of the rectangular cake in the picture, about how many inches deep would the layer of frosting be? Round to the nearest hundredth of an inch.

• 0.25

• 0.50

• 0.75

• 1.00

• 1.25

There are two spheres of different sizes. The large sphere has a radius 3 times the size of the small sphere. How many times larger is the volume of the large sphere compared to the volume of the small sphere (NOTE: the volume of a sphere is V = 4/3 π r³)

• 81

• 27

• 9

• 6

• 3

Martha's parents are building a concrete basketball court in her backyard so she can practice all the time. The basketball court has a length of 47 feet and a width of 50 feet. If the court is 6 inches thick, how much concrete will they need to pour, in cubic feet?

• 1,175

• 2,350

• 4,700

• 14,100

• 84,600

Tyler filled up his hot tub, which is a right rectangular prism, with 480 cubic feet of water. The hot tub is 12 feet long and 10 feet wide. What is the depth of the water in the hot tub? Round your answer to the nearest foot.

• 2

• 4

• 22

• 40

• 48