A metal tool box is 36 inches long, 18 inches deep, and 24 inches high. Which of the following is closest to the volume of the tool box in cubic feet?

A. 6.5 ft³
Incorrect. The volume is found by multiplying the dimensions, in feet, of the box.

B. 9 ft³
Correct!

C. 12 ft³
Incorrect. 18 inches is 1.5 feet, not 2 feet.

D. 15.5 ft³
Incorrect. There are 12 inches in 1 foot, instead of 10 inches in 1 foot.

Reginald is a candle maker, and he uses blocks of wax that come in the shape of rectangular prisms to make candles. He began with a block of wax that was 18 inches in length, as shown in the diagram. He cut off a piece that measured 2 1 2 inches in length. What is the volume of the remaining block of wax?

A. 50 5 8 cubic inches
Incorrect. This number is the volume of wax that Reginald removed.

B. 292 1 2 cubic inches
Incorrect. To multiply 4 1 2 inches by 4 1 2 inches, first convert the mixed numbers to improper fractions.

C. 313 7 8 cubic inches
Correct!

D. 364 1 2 cubic inches
Incorrect. This number is the volume of the original block of wax.

An aquarium in the shape of a cylinder has 2 3 8 inches of sand in the bottom of the aquarium. The aquarium is 16 inches tall and has a diameter of 8 inches.

What is the approximate volume of sand in the aquarium?

A. 119.32 cubic inches
Correct!

B. 477.28 cubic inches
Incorrect. The diameter of the base of the cylinder is given, but you need to use the radius of the base of the cylinder in order to determine the volume.

C. 684.52 cubic inches
Incorrect. This number is the volume of the aquarium left after the sand is placed inside.

D. 803.84 cubic inches
Incorrect. This number is the volume of the entire aquarium.

A wedge is shaped like a triangular prism. A portion of the prism was removed, leaving behind a triangular prism with a height of 7.5 centimeters. What is the volume of the portion that was removed?

A. 354 cubic centimeters
Incorrect. This number is the volume of the original prism.

B. 258 cubic centimeters
Incorrect. Because the base of the prism is a triangle, you need to use the area formula for a triangle.

C. 225 cubic centimeters
Incorrect. This number is the volume of the portion that was removed.

D. 129 cubic centimeters
Correct!

A lawn ornament made of clay is in the shape of a square pyramid.

What is the volume of clay required to make the lawn ornament?

A. 5 5 8 ft³
Incorrect. Don't forget to multiply by 1 3 .

B. 1 7 8 ft³
Correct!

C. 2 1 16 ft³
Incorrect. To find the volume of a pyramid, use the height instead of the edge length.

D. 6 3 16 ft³
Incorrect. Use the height instead of the edge length, and don't forget to multiply by 1 3 .