Packing Cubes and Volume

The base of a rectangular prism is filled by 24-unit cubes. Each cube has a length of one unit, a width of one unit, and a height of one unit. If the height of the prism is filled by 4 layers of unit cubes, what is the volume of the prism?

• 120 cubic units

• 96 cubic units

• 28 cubic units

• 15 cubic units

Mr. McDonald is ordering cartons to hold the small boxes into which he puts his product. Each small box measures exactly 1-inch by 1-inch by 1-inch. He has found a carton that measures 125, which is exactly the number of small boxes he wants to put in each carton. What unit should label the volume of the carton?

A. square feet

B. cubic inches

C. square inches

D. cubic pounds

• square feet

• cubic inches

• square inches

• cubic pounds

The McKays went on a picnic. They took a cooler that was in the shape of a rectangular prism. The inside of the cooler had a base area of 816 square inches, and a length of 34 inches. The cooler had an inside height of 22 inches. What was the volume of the inside of the cooler, in cubic inches?

A. 838 cubic inches

B. 1,564 cubic inches

C. 17,952 cubic inches

D. 610,368 cubic inches

• 838 cubic inches

• 1,564 cubic inches

• 17,952 cubic inches

• 610,368 cubic inches

A shipping box in the shape of a rectangular prism has a height of 6 feet and a volume of 96 cubic feet. What is a possible dimension for the base of the box?

• 4 feet by 4 feet

• 5 feet by 3 feet

• 8 feet by 8 feet

• 9 feet by 2 feet

Which measure represents the volume of the semi-truck trailer shown below?

• 74 cubic feet

• 689 cubic feet

• 2,434 cubic feet

• 5,512 cubic feet

The manager of a summer resort is preparing the swimming pool to be filled. The pool has a large adult swimming area and a smaller wading area, as shown.

What is the total volume, in cubic feet (ft), of the pool?

• 17,600 cubic feet

• 22,400 cubic feet

• 26,000 cubic feet

• 32,400 cubic feet

What is the volume of the figure below?

• 4 cubic inches

• 12 cubic inches

• 16 cubic inches

• 48 cubic inches

Kaylee filled two boxes with centimeter cubes as shown below.

How may centimeter cubes were used to fill the box with the greatest volume?

• 216

• 540

• 576

• 1,116

Mr. Smith wants to pack 24 one-inch cubes into a box. He wants to use a box that he can fill completely and has no gaps in between each cube. He has a choice of using box A, B, C, or D as shown.

Which box should he use?

• Box A

• Box B

• Box C

• Box D

Contessa built a model as shown. Each piece of the model is made up of 1 cubic centimeter pieces.

What is the volume, in cubic centimeters, of the model?

• 96 cubic centimeters

• 16 cubic centimeters

• 48 cubic centimeters

• 64 cubic centimeters