AnswersMath 7 B M12 2526 S2Volume of Pyramids

Volume of Composite Figures Answers

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Which statements are true about a rectangular pyramid with a height of 15 inches and a base with the dimensions of 12 inches and 9 inches? Select three options.

A
The area of the base of the pyramid, B, is .
Option A
B
The area of the base of the pyramid, B, is .
Option B
C
A rectangular prism with the dimensions of by by will have the same volume as this pyramid.
Option C
D
The volume of this pyramid is .
Option D
E
A rectangular prism with the dimensions of by by will have 3 times volume of this pyramid.
Option E
2
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Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centimeters by 6 centimeters? Select two options.

A
The area of the base of the pyramid, B, is .
Option A
B
The area of the base of the pyramid, B, is .
Option B
C
A rectangular prism with the dimensions of by by will have 3 times the volume of this pyramid.
Option C
D
A rectangular prism with the dimensions of by by will have of the volume of this pyramid.
Option D
E
The volume of this pyramid is .
Option E
3

Which pyramid has a greater volume, and how much greater is its volume?

Question illustration
A
The volume of the pyramid on the left is greater by .
Option A
B
The volume of the pyramid on the left is greater by .
Option B
C
The volume of the pyramid on the right is greater by .
Option C
D
The volume of the pyramid on the right is greater by .
Option D
4

What is the volume of the pyramid?

Question illustration
A
120 inches cubed
Option A
B
320 inches cubed
Option B
C
480 inches cubed
Option C
D
960 inches cubed
Option D
5

If the volume of the pyramid shown is , what is the area of its base?

Question illustration
A
12 inches squared
Option A
B
36 inches squared
Option B
C
72 inches squared
Option C
D
108 inches squared
Option D
6

The volume of the prism shown is .What is the volume of a pyramid with the same base length, base width, and height?

Question illustration
A
360 inches cubed
Option A
B
540 inches cubed
Option B
C
1,080 inches cubed
Option C
D
3,240 inches cubed
Option D
7

Anya started solving for the volume of the pyramid using the steps below.What is the final step in determining the volume of the pyramid?

Question illustration
A
V = one-third (144) (15)
Option A
B
V = one-third (144) (12)
Option B
C
V = one-third (144)
Option C
D
V = one-third (12) (15)
Option D
8

The volume of the prism shown is .What is the volume of a pyramid with the same base length, base width, and height?

Question illustration
A
24 inches cubed
Option A
B
36 inches cubed
Option B
C
72 inches cubed
Option C
D
216 inches cubed
Option D
9

Which equation should be used to find the volume of the figure?

Question illustration
A
V = one-third (10) (6) (12)
Option A
B
V = one-half (10) (6) (12)
Option B
C
V = one-third (10) (6) (13)
Option C
D
V = one-half (10) (6) (13)
Option D
10

What is the volume of the pyramid?

Question illustration
A
10 centimeters cubed
Option A
B
80 meters cubed
Option B
C
120 centimeters cubed
Option C
D
240 centimeters cubed
Option D

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