Five-Minute Check (over Lesson 11–8)

Main Idea and Vocabulary

Key Concept: Volume of a Rectangular Prism

Example 1:Volume of a Rectangular Prism

Example 2:Real-World Example

Key Concept: Volume of a Triangular Prism

Example 3:Volume of a Triangular Prism

• volume

• rectangular prism

• triangular prism

• Find the volumes of rectangular and triangular prisms.

Volume of a Rectangular Prism

Find the volume of the rectangular prism.

V = ℓwh Volume of a rectangular prism

V = 4 ● 3 ● 2 Replace ℓ with 4, w with 3, and h with 2.

V = 24 Multiply.Answer: 24 cm3

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 20 in3

B. 100 in3

C. 240 in3

D. 960 in3

Find the volume of the rectangular prism.

GAMES The manufacturer of the game Bugs of Planet Zykon uses the box shown. If the manufacturer increases the length of the box to 10 inches, how much will the box’s volume increase?

Volume of original box

V = ℓwh Volume of a rectangular prism

V = 8.5 ● 6 ● 4 Replace ℓ with 8.5, w with 6, and h with 4.

V = 204 Multiply.

Volume of new box

The difference in volume between the new box and the original box is 240 – 204 or 36 cubic inches.

Answer: The box’s volume will increase by 36 in3.

V = ℓwh Volume of a rectangular prism

V = 10 ● 6 ● 4 Replace ℓ with 10, w with 6, and h with 4.

V = 240 Multiply.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 20 in3

B. 112 in3

C. 280 in3

D. 315 in3

CRACKERS Find the volume of the cracker box.

Volume of a Triangular Prism

Find the volume of the triangular prism.

Volume of a Triangular Prism

Answer: 315 m3

V = Bh Volume of a prism

V = 31.5 ● 10 Replace B with 31.5 and

h with 10.

V = 315 Multiply.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 16 m3

B. 63 m3

C. 126 m3

D. 178 m3

Find the volume of the triangular prism.

End of the Lesson

Five-Minute Check (over Lesson 11–8)

Image Bank

Math Tools

Area of Trapezoids

Drawing 3-D Figures

Area of Polygons

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 11-8)

Refer to the figure. Which option shows the top, side, and front views of the solid?

A. B.

C. D.

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 11-8)

Which option shows a solid, drawn using the top, side, and front views shown in the figure?

A. B.

C. D.

1. A

2. B

3. C

4. D

0% 0%0%0%

(over Lesson 11-8)

A. rectangle

B. square

C. triangle

D. parallelogram

What is the side view of the figure?