Volume Formula

Front

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

Back

Volume = length × width × height.

Front

If a rectangular prism has a height of 5 inches, a width of 4 inches, and a volume of 80 cubic inches, what is the length?

Back

Length = Volume ÷ (width × height) = 80 ÷ (4 × 5) = 4 inches.

Front

What does the term 'volume' refer to in geometry?

Back

Volume refers to the amount of space inside a 3D object.

Front

How do you find the volume of a box that is 10 inches long, 2 inches wide, and 3 inches tall?

Back

Volume = 10 × 2 × 3 = 60 cubic inches.

Front

What is the relationship between the height of a prism and its volume?

Back

The height of a prism affects its volume; increasing the height increases the volume.

Front

If a box has a volume of 24 cubic centimeters and a height of 2 cm, what is the area of the base?

Back

Area of the base = Volume ÷ height = 24 ÷ 2 = 12 square centimeters.

Front

What is the volume of a cube with a side length of 3 inches?

Back

Volume = side × side × side = 3 × 3 × 3 = 27 cubic inches.

Front

If a rectangular prism has a volume of 100 cubic meters and a width of 5 meters, what is the height if the length is 4 meters?

Back

Height = Volume ÷ (length × width) = 100 ÷ (4 × 5) = 5 meters.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 5 inches?

Back

Volume = π × radius² × height = π × 2² × 5 ≈ 62.83 cubic inches.

Front

What is the volume of a rectangular prism with dimensions 6 cm, 4 cm, and 3 cm?

Back

Volume = 6 × 4 × 3 = 72 cubic centimeters.