Volume of Prisms and Pyramids

A tent is in the shape of a square pyramid. The side length of the tent’s base is 7 feet, and the height of the tent is 6.6 feet. What is the volume of the tent in cubic feet?

• 107.8 ft³

• 101.64 ft³

• 161.7 ft³

• 184.8 ft³

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.MD.C.4

CCSS.5.NBT.B.7

A gift box in the shape of a rectangular prism has a volume of 384 cubic inches. The base of the box is a square with an area of 64 square inches. What is the height of the gift box in inches?

• 6 in.

• 3 in.

• 12 in.

• 8 in.

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

A pyramid has a square base with a side length of 7 centimeters. If the volume of the pyramid is 196 cubic centimeters, what is its height in centimeters?

• 4 cm

• 12 cm

• 8 cm

• 21 cm

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

A triangular prism with dimensions in inches is shown. What is the volume of the triangular prism in cubic inches?

• 1,080 in.^3

• 2,025 in.^3

• 1,620 in.^3

• 3,240 in.^3

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.MD.C.4

CCSS.5.MD.C.6

The dimensions of a rectangular pyramid are shown in the diagram. What is the volume of the rectangular pyramid in cubic millimeters?

• 15 mm³

• 120 mm³

• 60 mm³

• 40 mm³

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

The dimensions of a rectangular prism are 1.5 feet by 3.5 feet by 2 feet. What is the volume of the rectangular prism in cubic feet?

• 7 ft³

• 7.25 ft³

• 8.5 ft³

• 10.5 ft³

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.MD.C.4

CCSS.5.NBT.B.7

The dimensions of a rectangular pyramid are shown. What is the volume of this rectangular pyramid in cubic feet?

• 96 ft³

• 18 ft³

• 64 ft³

• 192 ft³

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.MD.C.4

CCSS.5.MD.C.6

A container in the shape of a triangular prism is used to hold a slice of pizza. The dimensions of the container are shown in the diagram. What is the volume of the container in cubic inches?

• 58.32 in.^3

• 116.64 in.^3

• 19.44 in.^3

• 28.5 in.^3

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.MD.C.4

CCSS.5.MD.C.6

A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram. What is the volume of the rectangular prism in cubic centimeters?

• 26 cm³

• 270 cm³

• 165 cm³

• 348 cm³

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.MD.C.4

CCSS.5.MD.C.6

A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches?

• 22 in.^3

• 198 in.^3

• 66 in.^3

• 33 in.^3

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5