AnswersMath 7 B M12 2526 S2Volume of Composite Figures

Volume of Composite Figures Answers

10 verified answers
1
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Chiyo has a toolbox with the shape below. Which statements are true about the toolbox? Select two options.

Question illustration
A
The shape can be broken into a rectangular prism and a triangular prism.
B
The shape can be broken into a rectangular prism and a rectangular pyramid.
C
The formula for the volume of this figure is .
Option C
D
The volume of the toolbox is
Option D
E
The volume of the toolbox is
Option E
2
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Sophie found the volume of the figure below by using the steps shown. What mistake, if any, did Sophie make?

Question illustration
A
Sophie determined the volume correctly.
B
Sophie used the wrong formula for the total volume.
C
Sophie used the wrong height for the pyramid.
D
Sophie did not apply the order of operations correctly.
3

To the nearest cubic inch, what is the volume of the small milk carton below?

Question illustration
A
44 inches cubed
Option A
B
63 inches cubed
Option B
C
65 inches cubed
Option C
D
88 inches cubed
Option D
4

The shed in Adam’s backyard is shown below.Which correctly describes the dimensions of the figures that make up the shed?

Question illustration
A
a rectangular prism measuring 5 feet by 6 feet by 8 feet and a triangular prism with the dimensions of 3 feet by 5 feet by 8 feet
B
a rectangular prism measuring 3 feet by 5 feet by 8 feet and a triangular prism with the dimensions of 5 feet by 6 feet by 8 feet
C
a rectangular prism measuring 5 feet by 6 feet by 8 feet and a triangular prism with the dimensions of 3 feet by 5 feet by 6 feet
D
a rectangular prism measuring 3 feet by 5 feet by 6 feet and a triangular prism with the dimensions of 5 feet by 6 feet by 8 feet
5

James made the body of a robot out of two cubes.What is its volume?

Question illustration
A
54 inches cubed
Option A
B
136 inches cubed
Option B
C
1,216 inches cubed
Option C
D
5,096 inches cubed
Option D
6

What is the volume of the doorstop below?

Question illustration
A
27 inches cubed
Option A
B
36 inches cubed
Option B
C
63 inches cubed
Option C
D
90 inches cubed
Option D
8

Armando found the volume of the figure below by using the steps shown. What mistake, if any, did Armando make?

Question illustration
A
Armando determined the volume correctly.
B
Armando used the wrong formula for the total volume.
C
Armando used the wrong dimensions for the triangular prism.
D
Armando did not apply the order of operations correctly.
9

Bethany attached two cubes side by side.What is the volume of the entire figure?

Question illustration
A
36 inches cubed
Option A
B
74 inches cubed
Option B
C
468 inches cubed
Option C
D
720 inches cubed
Option D
10

Mateo built the skateboard ramp below and filled it with pebbles to make it more stable. Which statements are true about the ramp? Select two options.

Question illustration
A
The shape can be broken into a rectangular prism and a triangular prism.
B
The shape can be broken into a rectangular prism and a rectangular pyramid.
C
The formula for the volume of this figure is .
Option C
D
The volume of the ramp is .
Option D
E
The volume of the ramp is .
Option E

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