Volume of Rectangular Prisms

Front

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

Back

The volume (V) of a rectangular prism is calculated using the formula: V = length × width × height.

Front

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

Back

The volume is V = 5 ft × 4 ft × 3 ft = 60 ft³.

Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), and cubic feet (ft³).

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cubic centimeters to cubic meters, divide by 1,000,000 (1 m³ = 1,000,000 cm³).

Front

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

Back

The volume is V = 2 m × 3 m × 4 m = 24 m³.

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

The area of the base (A) can be found using the formula: A = Volume / Height. So, A = 100 cm³ / 5 cm = 20 cm².

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. Increasing any dimension increases the volume.

Front

If a rectangular prism has a volume of 36 in³ and a height of 3 in, what is the area of the base?

Back

The area of the base is A = Volume / Height = 36 in³ / 3 in = 12 in².

Front

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

Back

If all dimensions are doubled, the volume increases by a factor of 2³ = 8.

Front

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

Back

The volume is V = 10 cm × 5 cm × 2 cm = 100 cm³.