Surface Area and Volume of Rectangular Prisms, Triangular Prisms and Pyramids

Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide, and 12 feet long. How many cubic feet of space is contained in Julie's tent?

• 840 ft³

• 84 ft³

• 420 ft³

• 120 ft³

Tags

CCSS.7.G.B.6

The base of a pyramid is a rectangle with a length of 3 centimeters and a width of 6 centimeters. If the height of the pyramid is 12 centimeters, what is the volume of the pyramid in cubic millimeters?

• 72,000 mm³

• 7,200 mm³

• 21,600 mm³

• 216,000 mm³

Tags

CCSS.HSG.GMD.A.3

The science museum has a terrarium in the shape of a triangular pyramid. The dimensions of the terrarium are shown above. What is the volume of the terrarium?

• 72 ft³

• 288 ft³

• 96 ft³

• 144 ft³

Tags

CCSS.HSG.GMD.A.3

Jaxsen purchases two candy bars. What is the difference in the volume of the two candy bars Jaxsen purchases?

• 7.5 cm³

• 8 cm³

• 15 cm³

• 25 cm³

Tags

CCSS.7.G.B.6

A rectangular shipping box is 12 inches wide, 18 inches long, and 24 inches tall. How many cubic FEET does the box hold?

• 432 ft³

• 36 ft³

• 4.5 ft³

• 3 ft³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

The Cotton family purchases a glass sculpture in the shape of a rectangular pyramid. The base measures 7 1/2 inches by 5 inches. If the volume of the sculpture is 75 cubic inches, what is the height of the pyramid, in inches?

• 15 in.

• 6 in.

• 2 in.

• 37.5 in.

Tags

CCSS.HSG.GMD.A.3

The crayon is shaped like a triangular prism. The base of the crayon is shown below.

If the crayon is 90 millimeters long, how many cubic centimeters of wax is used to make a box of 8 crayons?

• 4.32 cm³

• 8.64 cm³

• 34.56 cm³

• 69.12 cm³

Tags

CCSS.7.G.B.6

Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of the space remains at the top. How many cubic inches of water are in Sam's aquarium?

• 2,112 in³

• 1,449 in³

• 1,920 in³

• 1,728 in³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

At the skate park, a new concrete ramp is built in the shape of a right triangular prism, as shown below.

How many cubic feet of concrete are used to build the ramp?

• 1,080 ft³

• 1,350 ft³

• 2,160 ft³

• 3,600 ft³

Tags

CCSS.7.G.B.6

If the volume of the pyramid is 12 cubic inches, what is the height of the pyramid in inches?

• 1 in.

• 6 in.

• 8 in.

• 10 in.

Tags

CCSS.HSG.GMD.A.3