AnswersMath 7 B M12 2526 S2Volume of Composite Figures

Volume of Composite Figures Answers

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Check all that you included in your response.

A
Take note of the three-dimensional figures that make up the figure.
B
Find the volume of each figure.
C
Add the volumes.
3

What is the volume of the figure?

A
116 m3
B
190 m3
C
290 m3
D
390 m3
5

cubic meters

Answer:

PENDING

6

Explain how to find the volume of any composite figure.

Answer:

To find the volume of a composite figure, first decompose the figure into simpler, standard three-dimensional shapes, such as rectangular or triangular prisms. Then, calculate the volume of each individual shape using the appropriate formula. Finally, add the volumes of all the individual shapes together to determine the total volume of the composite figure.

7

What mistakes did Cassandra make? Check all that apply.

A
She used square units instead of cubic units.
B
In calculating the volume of the pyramid, she did not multiply by 1/3.
C
She incorrectly identified the shapes composing the total figure.
D
She subtracted the pyramid volume instead of adding it.
E
She should have multiplied the dimensions of the prism by 1/3.
8

What is the approximate volume of the party favor?

A
4.3 in.3
B
8.7 in.3
C
12.9 in.3
D
26.1 in.3
9

A forest ranger wants to install a 1,500 CFM (cubic feet per minute) fan. A ranger station consists of a rectangular prism and a rectangular pyramid. The base of the pyramid and prism is 10 ft by 8 ft. The height of the pyramid is 3 ft, and the height of the prism is 8 ft. The ranger station requires one CFM per ft. Will the fan provide enough airflow for the ranger station? Why or why not?

Answer:

Yes, the fan will provide enough airflow. To find the volume of the station, calculate the volume of the rectangular prism (10 * 8 * 8 = 640 cubic feet) and the volume of the rectangular pyramid (1/3 * 80 * 3 = 80 cubic feet). The total volume is 640 + 80 = 720 cubic feet. Since 1 CFM is required per cubic foot, the station requires 720 CFM. The 1,500 CFM fan is more than enough because 1,500 is greater than 720.

10

How much will each sofa cost to fill?

A
$933.12
B
$766.56
C
$518.40
D
$414.72

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