Basics of Volume
Practice Problems
Complex Figures
100

What are the 3 dimensions of a rectangular prism?

length, width, & height. 

100

Susan has a drawer in her desk that measures 6 inches long, 9 inches wide, and 4 inches high. What is the total volume of Susan's drawer?

216 cubic inches


100

Draw a cube with the dimensions of 1 inch x 1 inch x 1 inch. 

Answers will vary. Make sure it is a CUBE nad NOT a rectangular prism. 

200

A rectangular prism has a length of 9 inches, a height of 7 inches, and a width of 3 inches. What is the volume of the prism?

189 cubic inches

200

Mari's toy closet floor measures 74 square feet. The toy closet is 8 feet tall. What is the total volume of Mari's toy closet?

592 cubic feet 

200

Draw and label a rectangular prism with your own measurements.

Answers will vary. Check that the measurements have units and that the answer is in cubic units. 

300

What is the definition of Volume?

The amount of space something takes up. The amount of space an object occupies.

300

Paul had 100 cubes to build with. He built a rectangular prism with a length of 5 cubes and a width of 4 cubes. How tall was his prism?

5 cubes tall. 

300

A figure is made up of two rectangular prisms. Prism A has a base of 4 cubes and a height of 5 cubes. Prism B has a base of 2 cubes and a height of 10 cubes. Find the total volume.

The total volume of the figure of 40 cubic units.

400

A rectangular prism has a width of 8 feet, a height of 6 feet, and a length of 2 yards. What is the volume of the prism?

288 cubic feet (2 yards = 6 feet)

400

A cube has a total volume of 125 cubic units. What are the 3 dimensions of this rectangular prism?

Length = 5 units

Width = 5 units

Height = 5 units

400

A figure is made up of 2 rectangular prisms. The prisms have the following measurements:

F1: 8cm long, 9cm wide, and 3cm tall

F2: 2cm long, 4cm wide, and 7cm tall

What is the volume of the figure?

(216 + 56) = 272 cubic cm

500

Describe two ways to find the volume of a rectangular prism.

1. Length x Width x Height 

2. Base x Height

500

A rectangular prism has a total volume of 99. List all the possible base/height combinations that the prism could be built with

1x99

3x33

9x11

500

Two rectangular prisms are put together with a total volume of 85. Draw two possible prisms that could fit this scenario.

Answers will vary.