Volume and Surface Area Review

Phil bought a block of cheese in the shape of a rectangular prism measuring 8 inches by 4 inches by 2 inches. He cut four pieces of cheese off the block, each measuring 2 inches by 3 inches by 1 inch. How much of the block of cheese is left? 

• 64 in³
• 70 in³
• 58 in³
• 40 in³

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

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A rectangular prism has a height of 12 inches and a length of 6 inches. If the total surface area is 396 square inches, what is the width of the prism?

• 7 in
• 6 in
• 9 in
• 8 in

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CCSS.6.G.A.4

CCSS.6.EE.A.2

CCSS.6.EE.B.5

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CCSS.6.EE.B.7

The cylinders shown have the same volume. What is the radius of Cylinder Y?

• 2 m
• 4 m
• 6 m
• 12 m

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

Melinda is trying to decide between two different storage containers. She wants to purchase the container that has more volume. Which statement is true?

• the rectangular container is larger and has a volume of 6,480 in³
•  the rectangular container is larger and has a volume of 7,540 in³
• the cylindrical container is larger and has a volume of 6,480 in³
•  the cylindrical container is larger and has a volume of 7,540 in³

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CCSS.5.MD.C.3

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The height of a cone with a 7-inch radius and a 9-inch height is doubled. How does that affect the volume of the cone?

• The volume is doubled.
• The volume is tripled.
• The volume is squared.
• The volume is cubed. 

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

A cylindrical glass is a quarter full. How much water needs to be added to the glass to completely fill it up? Use 3.14 for π. Round your volume to the nearest tenth. 

• 35.6 cm³
• 8.9 cm³
• 26.7 cm³
• 17.8 cm³

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.NBT.B.7

CCSS.5.NBT.A.4

What is the volume of the cylinder if both the height and diameter are halved? Leave your answer in terms of π.

• 7.5π in³
• 11.25π in³
• 90π in³
• 77π in³

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

Calculate the volume of the hemisphere below. Leave your answer in terms of pi.

• 20π in³
• 12π in³
• 18π in³
• 36π in³

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

A builder poured concrete for a ramp. The dimensions are shown below. What is the width (height of ramp) of the ramp x if the volume is 810 cubic centimeters?

• 12 cm
• 13 cm
• 15 cm
• 19 cm

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CCSS.5.MD.C.3

CCSS.5.MD.C.5

Now that you have the width for the concrete ramp. Calculate the total surface area. 

• 540 cm²
• 576 cm²
• 648 cm²
• 792 cm²

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CCSS.HSG.MG.A.1

CCSS.HSG.GPE.B.7