AnswersIntegrated Math II FullArea of Composite Figures

Volume of Composite Figures Answers

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Which figure has a greater volume, and how much greater is it?

Question illustration
A
The volume of figure 1 is greater than the volume of figure 2.
Option A
B
The volume of figure 2 is greater than the volume of figure 1.
Option B
C
The volume of figure 1 is greater than the volume of figure 2.
Option C
D
The volume of figure 2 is greater than the volume of figure 1.
Option D
2
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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.
3

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
4

Which figure has a greater volume and by how much?

Question illustration
A
The volume of figure 1 is greater than the volume of figure 2.
Option A
B
The volume of figure 2 is greater than the volume of figure 1.
Option B
C
The volume of figure 1 is greater than the volume of figure 2.
Option C
D
The volume of figure 2 is greater than the volume of figure 1.
Option D
5

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
6

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.
7

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
9

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
10

Moshe has the container shown below on his desk to hold pencils and paper clips.What are the dimensions of the rectangular prisms that make up the container?

Question illustration
A
2 inches by 3 inches by 6 inches and 2 inches by 2 inches by 4 inches
B
2 inches by 3 inches by 6 inches and 2 inches by 2 inches by 3 inches
C
2 inches by 4 inches by 6 inches and 2 inches by 2 inches by 4 inches
D
2 inches by 4 inches by 6 inches and 2 inches by 2 inches by 3 inches

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