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 3 units, a width of 2 units, and a height of 4 units, what is its volume?

Back

24 cubic units

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and cubic inches (in³).

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 dimensions 2 cm, 3 cm, and 4 cm?

Back

24 cm³

Front

If the volume of a rectangular prism is 36 cm³ and the base area is 9 cm², what is the height?

Back

Height = Volume ÷ Base Area = 36 cm³ ÷ 9 cm² = 4 cm.

Front

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

Back

The volume will also double, assuming width and height remain constant.

Front

What is the volume of a rectangular prism with a length of 5 units, width of 2 units, and height of 3 units?

Back

30 cubic units

Front

If a rectangular prism has a volume of 48 cm³ and a width of 4 cm and height of 3 cm, what is the length?

Back

Length = Volume ÷ (Width × Height) = 48 cm³ ÷ (4 cm × 3 cm) = 4 cm.