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 3 cm, and a height of 4 cm, what is its volume?

Back

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

Front

What units are used to measure volume?

Back

Cubic units (e.g., cubic centimeters, cubic inches, cubic feet) 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, assuming length and width remain constant.

Front

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

Back

Volume = 2 m × 3 m × 5 m = 30 cubic meters

Front

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

Back

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

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

If a rectangular prism has a volume of 100 cubic cm and a width of 5 cm, what is the length if the height is 4 cm?

Back

Length = Volume ÷ (Width × Height) = 100 cubic cm ÷ (5 cm × 4 cm) = 5 cm

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 dimensions 1 ft × 2 ft × 3 ft?

Back

Volume = 1 ft × 2 ft × 3 ft = 6 cubic feet