Volume of Rectangular Prisms 22

Front

What is the formula for calculating 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 4 cm, and a height of 3 cm, what is its volume?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³.

Front

What is the volume of a cube with a side length of 3 units?

Back

Volume = side³ = 3³ = 27 unit³.

Front

How do you find the volume of a cereal box if you know the height and the area of the base?

Back

Volume = height × area of the base.

Front

What is the volume of an ice cube with each side measuring 2 inches?

Back

Volume = side³ = 2³ = 8 cubic inches.

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 2³ = 8.

Front

What units are used to measure volume?

Back

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

Front

What is the volume of a rectangular prism with a length of 10 m, width of 5 m, and height of 2 m?

Back

Volume = 10 m × 5 m × 2 m = 100 m³.

Front

If a box has a volume of 84 cm³ and a base area of 7 cm², what is its height?

Back

Height = Volume / Area of base = 84 cm³ / 7 cm² = 12 cm.

Front

What is the relationship between the volume of a rectangular prism and its dimensions?

Back

The volume is directly proportional to the product of its length, width, and height.