Volume of Rectangular Prisms

Front

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

Back

Volume = length × width × height

Front

What is volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

If a rectangular prism has a length of 4 inches, a width of 3 inches, and a height of 2 inches, what is its volume?

Back

24 cubic inches

Front

What units are used to measure volume?

Back

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

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

If the volume of a rectangular prism is 60 cubic cm and its base area is 15 square cm, what is the height?

Back

Height = Volume ÷ Base Area = 60 cm³ ÷ 15 cm² = 4 cm.

Front

What is the volume of a rectangular prism with dimensions 5 cm, 4 cm, and 3 cm?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cubic cm.

Front

If a box has a volume of 150 cubic inches and a height of 5 inches, what is the area of the base?

Back

Base Area = Volume ÷ Height = 150 in³ ÷ 5 in = 30 in².

Front

What happens to the volume of a rectangular prism if both the length and width are doubled?

Back

The volume increases by a factor of four (2 × 2) because Volume = length × width × height.

Front

What is the volume of a rectangular prism with a length of 10 feet, width of 2 feet, and height of 3 feet?

Back

Volume = 10 ft × 2 ft × 3 ft = 60 cubic feet.