3.2 Finding Volume Using Formulas

Front

What is volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

Front

What is the formula for finding the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

If a box has a length of 5 inches, a width of 4 inches, and a height of 3 inches, what is its volume?

Back

Volume = 5 × 4 × 3 = 60 cubic inches.

Front

What is the formula for finding the volume of a cube?

Back

Volume = side × side × side (or side³).

Front

If one side of a cube is 4 inches, what is its volume?

Back

Volume = 4 × 4 × 4 = 64 cubic inches.

Front

What is the formula for finding the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

Volume = π × 3² × 5 ≈ 141.37 cubic inches.

Front

What unit is used to measure volume?

Back

Volume is measured in cubic units, such as cubic inches (in³), cubic feet (ft³), or liters.

Front

How do you convert cubic inches to cubic feet?

Back

To convert cubic inches to cubic feet, divide the number of cubic inches by 1728 (since 1 ft³ = 1728 in³).

Front

What is the volume of a rectangular prism with a length of 10 inches, width of 2 inches, and height of 4 inches?

Back

Volume = 10 × 2 × 4 = 80 cubic inches.