Volume of rectangular prisms

Front

What is the formula to calculate the volume of a rectangular prism?

Back

Volume = length × width × height

Front

If a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, what is its volume?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic inches (in³), and cubic feet (ft³).

Front

How does changing the dimensions of a rectangular prism affect its volume?

Back

Increasing any dimension (length, width, or height) increases the volume; decreasing any dimension decreases the volume.

Front

What is the volume of a rectangular prism with dimensions 2 ft, 3 ft, and 4 ft?

Back

Volume = 2 ft × 3 ft × 4 ft = 24 ft³

Front

If the volume of a rectangular prism is 100 cm³ and the height is 5 cm, what is the area of the base?

Back

Area of base = Volume ÷ height = 100 cm³ ÷ 5 cm = 20 cm²

Front

What is the volume of a rectangular prism with a base area of 30 in² and a height of 2 in?

Back

Volume = base area × height = 30 in² × 2 in = 60 in³

Front

If a rectangular prism has a volume of 144 cu ft and a height of 12 ft, what is the area of the base?

Back

Area of base = Volume ÷ height = 144 cu ft ÷ 12 ft = 12 ft²

Front

What happens to the volume of a rectangular prism if you double its height?

Back

The volume doubles if the base area remains the same.

Front

What is the volume of a rectangular prism with dimensions 10 in, 5 in, and 2 in?

Back

Volume = 10 in × 5 in × 2 in = 100 in³