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 3 cm, and a height of 4 cm, what is its volume?

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cu cm

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cu cm), cubic inches (cu in), cubic feet (cu ft), and liters.

Front

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

Back

Volume = 2 ft × 3 ft × 4 ft = 24 cu ft

Front

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

Back

Increasing the height increases the volume, while decreasing the height decreases the volume, assuming length and width remain constant.

Front

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

Back

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

Front

If the volume of a rectangular prism is 48 cu in and the base area is 12 sq in, what is the height?

Back

Height = Volume ÷ Base Area = 48 cu in ÷ 12 sq in = 4 in

Front

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

Back

The volume increases by a factor of 8, since volume is proportional to the product of length, width, and height.

Front

What is the volume of a rectangular prism with dimensions 1 m × 1 m × 1 m?

Back

Volume = 1 m × 1 m × 1 m = 1 cu m

Front

If a rectangular prism has a volume of 100 cu ft and a height of 5 ft, what is the area of the base?

Back

Base Area = Volume ÷ Height = 100 cu ft ÷ 5 ft = 20 sq ft