Thrash Volume of Prisms and Composite Figures

The cargo-carrying part of Billy’s truck is a rectangular prism. It has a length of 8.3 meters, a width of 3 meters, and a height of 4.2 meters. What is the maximum volume of sand that Billy’s truck can carry?

A pentagonal prism is a prism that has bases that are pentagons. Use V = Bh where B is the area of the base, to find the volume of the pentagonal prism.

Find the volume of the composite figure.

Alexia’s bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height of 0.4 meter. How many cubic meters of water can it hold?

• 3 m³

• 0.3 m³

• 30 m³

• 0.03 m³

What is the volume of the triangular prism?

• 1080 in³

• 540 in³

• 216 in³

• 2160 in³

Eli is finding the volume of the triangular prism shown. Which of the following equations will give him the correct solution?

• V=30(12)

• V=15(12)

• V=72(5)

• V=30(5)

Find the volume of the composite figure.

• 1012 mm³

• 2640 mm³

• 1045 mm³

• 1320 mm³

A triangular prism has a height of 9 meters. The area of the triangular base measures 16 square meters. What is the volume of the triangular prism?

• 15 cubic meters

• 60 cubic meters

• 72 cubic meters

• 144 cubic meters

What is the volume of the rectangular prism?

• 189 yd³

• 378 yd³

• 88 yd³

• 756 yd³

A swimming pool is the shape of a rectangular prism. It holds 1,440 cubic feet of water. If the base measures 15 feet by 12 feet, then how deep is the pool?

• 259,200 ft

• 12 ft

• 4 ft

• 8 ft