Volume of rectangular prisms

Front

What is the formula for finding the volume of a rectangular prism?

Back

Volume = length × width × height

Front

What are the units of volume?

Back

Cubic units (e.g., cm³, in³, m³) are used to measure volume.

Front

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

Back

Volume = 5 cm × 2 cm × 3 cm = 30 cm³

Front

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

Back

Volume = 4 in × 3 in × 2 in = 24 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.

Front

What is the volume of a rectangular prism with a length of 10 m, width of 2 m, and height of 4 m?

Back

Volume = 10 m × 2 m × 4 m = 80 m³

Front

If the volume of a rectangular prism is 72 in³ and the base area is 12 in², what is the height?

Back

Height = Volume ÷ Base Area = 72 in³ ÷ 12 in² = 6 in.

Front

What is the relationship between area and volume in a rectangular prism?

Back

Area measures the surface of a base, while volume measures the space inside the prism.

Front

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

Back

The volume increases by a factor of 8 (2³) because volume is a three-dimensional measurement.

Front

What is the volume of a rectangular prism with a base area of 18 in² and a height of 1 in?

Back

Volume = Base Area × Height = 18 in² × 1 in = 18 in³