Volume of Rectangular Prisms

Front

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

Back

Volume = length × width × height

Front

If a rectangular prism has a length of 5 m, a width of 4 m, and a height of 3 m, what is its volume?

Back

Volume = 5 m × 4 m × 3 m = 60 m³

Front

What unit is used to measure volume in the metric system?

Back

Cubic meters (m³) or liters (L)

Front

What unit is used to measure volume in the imperial system?

Back

Cubic feet (ft³) or gallons (gal)

Front

If a rectangular prism has a volume of 100 in³ and a height of 5 in, what is the area of the base?

Back

Area of the base = Volume ÷ height = 100 in³ ÷ 5 in = 20 in²

Front

How do you convert cubic inches to cubic feet?

Back

Divide the number of cubic inches by 1728 (since 1 ft³ = 1728 in³).

Front

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

Back

Volume = 2 ft × 3 ft × 4 ft = 24 ft³

Front

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

Back

The volume increases by a factor of 8 (since 2³ = 8).

Front

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

Back

Volume = 10 cm × 5 cm × 2 cm = 100 cm³

Front

If a box has a volume of 500 m³ and a height of 10 m, what is the area of the base?

Back

Area of the base = Volume ÷ height = 500 m³ ÷ 10 m = 50 m²