Volume of Prisms Answers

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What is the volume of this triangular prism?

Question illustration
A
313.6 cm
Option A
B
506.8 cm
Option B
C
5,676.16 cm
Option C
D
11,352.32 cm
Option D
3

What steps should be taken to calculate the volume of the right triangular prism? Select three options.

Question illustration
A
Use the formula to find the area of the base.
Option A
B
Use the formula to find the area of the base.
Option B
C
The area of the base, A, is .
Option C
D
The area of the base, A, is .
Option D
E
The volume of the prism, is .
Option E
6

A rectangular prism has a base that is 5 cm by 7 cm and a height of 12 cm. If all dimensions are doubled, what happens to the volume?

A
When the dimensions are doubled, the volume is twice the original volume.
B
When the dimensions are doubled, the volume is three times the original volume.
C
When the dimensions are doubled, the volume is four times the original volume.
D
When the dimensions are doubled, the volume is eight times the original volume.
7

Nikita calculated the volume of the right triangular prism. Her work is shown below.Nikita’s Work:Where, if any, did Nikita first make a mistake in her work?

Question illustration
A
Nikita used the wrong formula for the area of the base.
B
Nikita used the wrong measurements when finding the area of the base.
C
Nikita used the wrong formula for the volume of the prism.
D
Nikita did not make a mistake.
8

Which equation can be used to find the volume of this solid?

Question illustration
A
V = 3 times 5 times 4
Option A
B
V = 3 + 5 + 4
Option B
C
V = 5 times 4
Option C
D
V = 3 times 5
Option D
10

Which right triangular prism has the greatest volume?

A
A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters.
Option A
B
A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters.
Option B
C
A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters.
Option C
D
A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Option D
11

A triangular prism has a base that is 6 cm by 4 cm and a height of 8 cm. If all dimensions are tripled, what happens to the volume?

A
When the dimensions are tripled, the volume is three times the original volume.
B
When the dimensions are tripled, the volume is six times the original volume.
C
When the dimensions are tripled, the volume is eighteen times the original volume.
D
When the dimensions are tripled, the volume is twenty-seven times the original volume.
12

Which right triangular prism has the greatest volume?

A
A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters.
Option A
B
A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters.
Option B
C
A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters.
Option C
D
A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Option D
13

A shoe box in the shape of a right rectangular prism has a base that measures 7 inches by 12 inches and is 5 inches high. What is the volume of the shoe box, in cubic inches?

A
35
B
84
C
245
D
420
14

The formula for finding the volume of a rectangular prism is V = Bh. A rectangular prism with dimensions _________ will have a volume of 150 cubic units.

A
8 by 3 by 4
B
5 by 6 by 5
C
7 by 5 by 4
D
9 by 3 by 2
15

What is the volume of this rectangular prism?

Question illustration
A
87 and one-half feet cubed
Option A
B
131 and one-fourth feet cubed
Option B
C
252 feet cubed
Option C
D
262 and one-half feet cubed
Option D
16

Which equation can be used to find the volume of this solid?

Question illustration
A
V = 11 times 9 times 7
Option A
B
V = 11 + 9 + 7
Option B
C
V = StartFraction 7 + 9 over 2 EndFraction + 11
Option C
D
V = StartFraction 7 times 11 over 2 EndFraction times 9
Option D

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