Applications of Area and Volume

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

• 810 m³

• 733 m³

• 581 m³

• 177 m³

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

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

• 24,280 cubic feet

• 16,430 cubic feet

• 11,720 cubic feet

• 4,480 cubic feet

Which is the volume of the prism?

• 364.5 in³

• 729 in³

• 729√2 in³

• 729√3 in³

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

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

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

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

• 700 mm³

• 817 mm³

• 350 mm³

• 944 mm³

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