AnswersMath 7 B M12 2526 S2Volume of Composite Figures

Volume of Composite Figures Answers

4 verified answers
1
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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

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
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

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
6

Valeria has a dresser with the basic shape shown below.What are the dimensions of the rectangular prisms that make up the dresser?

Question illustration
A
16 inches by 18 inches by 30 inches and 14 inches by 20 inches by 30 inches
B
16 inches by 18 inches by 30 inches and 14 inches by 30 inches by 36 inches
C
16 inches by 18 inches by 30 inches and 14 inches by 16 inches by 30 inches
D
16 inches by 18 inches by 30 inches and 14 inches by 18 inches by 30 inches
7

What is the volume of the composite figure shown below?

Question illustration
A
1,008 millimeters cubed
Option A
B
2,412 millimeters cubed
Option B
C
2,880 millimeters cubed
Option C
D
3,465 millimeters cubed
Option D
8

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
9

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
10

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.

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