Five-Minute Check (over Lesson 10–5)

Main Idea and Vocabulary

Key Concept: Volume of a Rectangular Prism

Example 1:Find the Volume of a Rectangular Prism

Example 2:Use Volume to Solve a Problem

• rectangular prism

• volume

• cubic units

• Find the volume of rectangular prisms.

Find the Volume of a Rectangular Prism

Find the volume of the rectangular prism.

Method 1 Use V = ℓwh.

V = ℓwh Volume of rectangular prism.

V = 10 × 8 × 5 Replace ℓ with 10, w with 8, and h with 5.

V = 400 Multiply.

Method 2

Find the Volume of a Rectangular Prism

B, or the area of the base, is 8 × 10 or 80 square meters.

V = Bh Volume of a rectangular prism

V = 80 × 5 Replace B with 80 and h with 5.

V = 400 Multiply.

Answer: The volume is 400 cubic meters.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 19 in3

B. 38 in3

C. 84 in3

D. 144 in3

Find the volume of the rectangular prism.

STORAGE A closet is 6.2 feet long, 2.8 feet wide, and 8.1 feet high. Find the amount of space contained within the closet for storage.

Estimate 6 × 3 × 8 = 144

Find the volume.

Use Volume to Solve a Problem

Answer: The amount of space in the closet for storage is 140.616 cubic feet.

V = ℓwh Volume of rectangular prism.

V = 6.2 × 2.8 × 8.1 Replace ℓ with 10, w with 8, and h with 5.

V = 140.616 Multiply.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 40.25 ft3

B. 61.875 ft3

C. 62.5 ft3

D. 75.125 ft3

MOVING A box provided by a mover for packing is 4.5 feet long, 2.5 feet wide, and 5.5 feet high. Find the volume of the box.

End of the Lesson

Five-Minute Check (over Lesson 10–5)

Image Bank

Math Tools

Using a Net to Build a Cube

Area of Triangles

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 4 rows

B. 5 rows

C. 6 rows

D. 7 rows

Use the make a model strategy to solve.CHEERLEADING The cheerleading team is making a pyramid. There are 6 cheerleaders on the bottom row and one less cheerleader in each row. How many rows are in the pyramid if there are 18 cheerleaders?

(over Lesson 10-5)

1. A

2. B

0%0%

A. Yes; 64 + 49 + 36 + 25 + 16 + 4 + 1 = 195.

B. No; He needs 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1, or 204 apples.

Use the make a model strategy to solve.DESIGN A grocery store associate is arranging apples in a square pyramid. The base of the pyramid should have 64 apples, and the top layer should have 1 apple. Will 200 apples be enough for the associate to make the pyramid? Explain.

(over Lesson 10-5)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 1 brick paver

B. 2 brick pavers

C. 3 brick pavers

D. 4 brick pavers

Mateo has 18 square brick pavers that he wants to arrange for a small patio outside his back door. If he wants the patio to have the least perimeter possible, how many brick pavers will be in each row?

(over Lesson 10-5)