AnswersMath 7 B M12 2526 S2Cross Sections

Volume of Pyramids Answers

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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
2
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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
3

What is the volume of the pyramid in cubic inches?

Question illustration
A
54
B
72
C
144
D
216
4

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

A
The new pyramid has a volume that is the volume of the original pyramid.
Option A
B
The new pyramid has a volume that is the volume of the original pyramid.
Option B
C
The new pyramid has the same volume as the volume of the original pyramid.
D
The new pyramid has a volume that is 2 times the volume of the original pyramid.
5

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
6

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
7

If the volume of the pyramid shown is , what is its height?

Question illustration
A
1 cm
B
2 cm
C
6 cm
D
7 cm
8

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
9

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
10

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

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