Density and Volume Applications

Which is the volume of the prism?

• 364.5 in³

• 729 in³

• 729√2 in³

• 729√3 in³

Tags

CCSS.7.G.B.6

Rose bought a small tent for her pet rabbit. The tent is in the shape of a square pyramid, as shown. The base has a side length of 18 inches. The lateral faces have a slant height of 15 inches. What is the volume of the tent?

• 324 in³

• 405 in³

• 1296 in³

• 1620 in³

Tags

CCSS.HSG.GMD.A.3

Lea made two candles in the shape of right rectangular prisms. The first candle is 15 cm high, 8 cm long, and 8 cm wide. The second candle is 5 cm higher, but has the same length and width. How much additional wax is needed to make the taller candle?

• 320 cm³

• 640 cm³

• 960 cm³

• 1280 cm³

Tags

CCSS.7.G.B.6

How much grain could fit in this silo? Round your answer to the nearest cubic meter.

• 810 m³

• 733 m³

• 581 m³

• 177 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The Clarkston High School gymnasium has a maximum population density of 1.45 people/square meter. If the area of the gymnasium is 400 square meters, how many people can fit into the gym?

• 580 people

• 276 people

• 1,020 people

• 674 people

Tags

population density

What is the volume of 150 grams of lead if it has a density of 11.3 g/cm³?

• 13.3 g

• 13.3 cm³

• .075 g

• 1695 cm³

Tags

CCSS.HSG.MG.A.2

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter. 

• 216 cm³

• 25 cm³

• 100 cm³

• 191 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of a basketball with a diameter of 10 inches. Round to the nearest tenth.

• 523.6 in³

• 4188.8 in³

• 92 in³

• 2391.7 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the treasure chest. Round to the nearest whole mm³.

• 700 mm³

• 817 mm³

• 350 mm³

• 944 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A storage bin in the shape of a rectangular prism has a volume of 5,400 cubic inches. The base area of the storage bin is 450 square inches. What is the height of the storage bin?

• 9 inches

• 11 inches

• 12 inches

• 15 inches

Tags

CCSS.7.G.B.6