Volume of Rectangular Prisms and Cubes

Front

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

Back

Volume = length × width × height

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = 4 cm × 4 cm × 4 cm = 64 cubic cm

Front

If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm, what is its volume?

Back

Volume = 5 cm × 3 cm × 2 cm = 30 cubic cm

Front

What unit is used to measure volume?

Back

Cubic units (e.g., cubic centimeters, cubic meters) are used to measure volume.

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.

Front

What is the volume of a rectangular prism with dimensions 10 ft (length), 5 ft (width), and 4 ft (height)?

Back

Volume = 10 ft × 5 ft × 4 ft = 200 cubic ft

Front

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

Back

Height = Volume ÷ Base Area = 48 cubic cm ÷ 12 square cm = 4 cm

Front

What is the relationship between the volume of a cube and the length of its side?

Back

The volume of a cube is equal to the side length raised to the third power (Volume = side³).

Front

If a rectangular prism has a volume of 120 cubic inches and a height of 5 inches, what is the area of the base?

Back

Base Area = Volume ÷ Height = 120 cubic inches ÷ 5 inches = 24 square inches

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 (Volume = 2 × length × 2 × width × height).