Volume Enrichment #2

Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of Prism B. What is the volume of Prism A and volume B

• A=122 B=244

• A=144 B=288

• A=126 B=306

• A=115 B=317

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CCSS.5.MD.C.3

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Arrange the prisms in order from largest to smallest based on their volume.

• 2,1,3

• 3,1,2

• 1,2,3

• 2,3,1

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A sculpture (pictured above) is made of two sizes of rectangular prisms. One size measures 16 in by 8 in by 3 in. The other size measures 12 in by 8 in by 22 in. What is the total volume of the sculpture?

• 4224 cubic inches

• 6528 cubic inches

• 2496 cubic inches

• 3840 cubic inches

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CCSS.5.MD.C.3

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The Combined volume of 4 identical cubes is 256 cubic inches. What is the side length for each cube?

• 8 inches

• 6 inches

• 4 inches

• 64 inches

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Find the volume

• 147 cubic units

• 422 cubic units

• 398 units squared

• 398 cubic units

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Your mom has a container that holds a volume of 156 cubic units. Which two boxes could you place in the container to fill it completely?

• 1 and 2

• 2 and 3

• 3 and 4

• 2 and 4

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CCSS.5.MD.C.3

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CCSS.5.MD.C.6

A rectangular prism has a base with an area of 63 inches squared and a total volume of 882 inches cubed. What is the height of the prism?

• 10

• 14

• 12

• 11

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

This winter, it has snowed three times at Brady's house. The first time the snow accumulated 7 inches. The 2nd snow 2 inches and 3rd snow yielded 3 inches of snow. Using the approximated figure of Brady's driveway, how much snow has Brady shoveled from his driveway this winter?

• 880 cubic feet

• 42 cubic feet

• 10,560 cubic inches

• 1,760 cubic feet

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CCSS.5.MD.C.3

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• 55 yd³
• 121 yd³
• 22 yd³
• 330 yd³

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A figure is made by joining two rectangular prisms, as shown.

* All side lengths shown are in inches.

* The total volume of the figure is 120 cubic inches.

What is the difference, in cubic inches, between the volumes of the two rectangular prisms?

• 0

• 2

• 18

• 60

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.4

CCSS.5.MD.C.5

CCSS.5.MD.C.6