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 cubic cm

Front

What units are used to measure volume?

Back

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

Front

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

Back

Volume = 2 in × 3 in × 4 in = 24 cubic inches.

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 ft, width of 2 ft, and height of 5 ft?

Back

Volume = 10 ft × 2 ft × 5 ft = 100 cubic feet.

Front

If the volume of a rectangular prism is 48 cubic cm and the base area is 12 cm², what is the height?

Back

Height = Volume ÷ Base Area = 48 cm³ ÷ 12 cm² = 4 cm.

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

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

Back

The volume increases by a factor of 8, since Volume = (2 × length) × (2 × width) × (2 × height) = 8 × original volume.

Front

What is the volume of a rectangular prism with a length of 7 cm, width of 3 cm, and height of 2 cm?

Back

Volume = 7 cm × 3 cm × 2 cm = 42 cubic cm.