Five-Minute Check (over Lesson 14–5)

Main Idea and Vocabulary

Key Concept: Volume of a Rectangular Prism

Example 1:Volume of a Prism

Example 2:Volume of a Prism

Volume of Prisms

• I will find the volumes of rectangular prisms.

• volume

Volume of a Prism

What is the volume of a fish tank that is 4 inches long, 4 inches wide, and 6 inches tall?

One Way: Use a Model

Count the number of 1-inch cubes that will fill the bottom of the rectangular prism. The prism is 4 cubes long and 4 cubes wide. There are 16 cubes on the bottom.

One Way: Use a Model

There are 6 layers of cubes. So, there are 6 × 16 or 96 cubes.

Volume of a Prism

Another Way: Select and Use a Formula

V = wh Formula for the volume of a rectangular prism.

V = 4 × 4 × 6

= 4, w = 4, h = 6.

V = 96 Multiply.

Answer: The volume of the fish tank is 96 cubic inches.

Volume of a Prism

1. A

2. B

3. C

4. D0% 0%0%0%

A. 15 cubic inches

B. 30 cubic inches

C. 45 cubic inches

D. 90 cubic inches

What is the volume of a box that is 3 inches long, 3 inches wide, and 5 inches tall?

Volume of a Prism

Find the volume of the rectangular prism.

Answer: The volume of the prism is 480 cubic meters.

Formula for the volume

= 12, w = 8, h = 5

V = 480 Multiply.

V = wh

V = 12 × 8 × 5

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 468 cubic millimeters

B. 358 cubic millimeters

C. 221 cubic millimeters

D. 26 cubic millimeters

Find the volume of the rectangular prism.

End of the Lesson

Five-Minute Check (over Lesson 14–5)

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Math Tool Chest

Volumes of Prisms

1. A

2. B

3. C

4. D

0% 0%0%0%

(over Lesson 14–5)

Solve. Use the make a model strategy. A picture frame is 4 inches wide and 12 inches long. It has yellow stars every inch and one at each corner. How many stars are there on the frame?

C. 34 stars

B. 32 stars

D. 42 stars

A. 36 stars