Volume of rectangular prisms

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 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 cu cm

Front

What units are used to measure volume?

Back

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

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 in, 3 in, and 4 in?

Back

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

Front

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

Back

Area of base = Volume / height = 100 cu in / 5 in = 20 sq in

Front

What is the relationship between the volume and the dimensions of a rectangular prism?

Back

The volume is directly proportional to the product of its length, width, and height.

Front

If a rectangular prism has a volume of 48 cu ft and a height of 4 ft, what is the area of the base?

Back

Area of base = Volume / height = 48 cu ft / 4 ft = 12 sq ft

Front

What happens to the volume of a rectangular prism if all dimensions are doubled?

Back

The volume increases by a factor of 8 (2^3) because volume is a three-dimensional measurement.

Front

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

Back

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