LESSON

How do you find the volume of a rectangular prism.

Volume of Rectangular Prisms10.1

ADDITIONAL EXAMPLE 1Find the volume of the rectangular prism.18,900 cm3

A storage unit is shaped like a rectangular prism. The storage unit has a volume of 205.11 cubic meters. It is 8.6 meters long and 5.3 meters wide. How tall is the storage unit? 4.5 m

A

ADDITIONAL EXAMPLE 2

10.1 LESSON QUIZ

What is the volume of a rectangular prism that is 2.3 cm long, 1.4 cm wide, and 6 cm high?

7.9.A

19.32 cm3

1.

What shape can be formed from the net?

rectangular prism

2.

3.

4. A box shaped like a rectangular prism has a base that is 8 in. by 6 in. The box has a volume of 168 in3. Find the height of the box.

6 ft2

The volume of a drawer shaped like a rectangular prism is 3 ft3. The drawer is foot tall. What is the area of the base of the drawer?

A cube has 6 sides, or faces. Each of the 6 faces is a square. The cube at the right measures 3 units on each edge.

a. How many small cubes make up the large cube?

b. If the large cube is painted, how many small cubes will be painted on 3 faces? on 2 faces? on 1 face? not at all?

27 cubes

8 cubes; 12 cubes; 6 cubes; 1 cube

How do you find the volume of a rectangular prism?

Sample answer: Substitute the dimensions into the formula for the volume. Then multiply.