AnswersGrade 7 MathematicsVolume of Prisms

Volume of Prisms — Quiz Answers

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1
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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
420
B
35
C
84
D
245
2
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Which right triangular prism has the greatest volume?

A
Image with description A triangular prism. The bases are right triangles with the horizontal leg labeled 10 meters and the vertical leg labeled 9 meters. The length of a lateral face is labeled 8 meters.
B
Image with description A triangular prism. The bases are right triangles with the horizontal leg labeled 11 meters and the vertical leg labeled 8 meters. The length of a lateral face is labeled 8 meters.
C
Image with description A triangular prism. The bases are right triangles with the horizontal leg labeled 6 meters and the vertical leg labeled 13 meters. The length of a lateral face is labeled 5 meters.
D
Image with description A triangular prism. The bases are right triangles with the horizontal leg labeled 7 meters and the vertical leg labeled 9 meters. The length of a lateral face is labeled 6 meters.
3

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 eighteen times the original volume.
B
When the dimensions are tripled, the volume is three times the original volume.
C
When the dimensions are tripled, the volume is twenty-seven times the original volume.
D
When the dimensions are tripled, the volume is six times the original volume.
4

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 four times 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 eight times the original volume.
D
When the dimensions are doubled, the volume is twice the original volume.
5

What is the volume of a rectangular prism that has a height of 2(1)/(2) inches, a width of 10 inches, and a length of 5(3)/(4) inches? Enter your answer in the box.

Answer:

143.75

6

The formula for finding the volume of a rectangular prism is cap v is equal to cap b h A rectangular prism with dimensions _________ will have a volume of 150 cubic units.

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

A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4 point 5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?

A
72
B
324
C
1 comma 728
D
108
9

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

A
cap v is equal to 2 plus 5 plus 4
B
cap v is equal to 4 times 5
C
cap v is equal to 2 times 4 times 5
D
cap v is equal to 2 times 5
10

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

A
cap v is equal to 3 times 5 times 4
B
cap v is equal to 5 times 4
C
cap v is equal to 3 plus 5 plus 4
D
cap v is equal to 3 times 5

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