Volume of rectangular prisms

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 units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic inches (in³), and cubic feet (ft³).

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 dimensions 10 in, 2 in, and 5 in?

Back

Volume = 10 in × 2 in × 5 in = 100 in³

Front

If the volume of a rectangular prism is 120 cm³ and the base area is 30 cm², what is the height?

Back

Height = Volume ÷ Base Area = 120 cm³ ÷ 30 cm² = 4 cm

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 180 ft³ and a height of 6 ft, what is the area of the base?

Back

Base Area = Volume ÷ Height = 180 ft³ ÷ 6 ft = 30 ft²

Front

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

Back

The volume increases by a factor of 8 (2³) because volume is proportional to the product of length, width, and height.

Front

What is the volume of a rectangular prism with a length of 7 cm, width of 3 cm, and height of 2 cm?

Back

Volume = 7 cm × 3 cm × 2 cm = 42 cm³