Finding 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 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 for volume include cubic centimeters (cm³), cubic inches (in³), and liters (L).

Front

If the volume of a rectangular prism is 120 cm³ and the height is 5 cm, what is the area of the base?

Back

Area of the base = Volume ÷ Height = 120 cm³ ÷ 5 cm = 24 cm².

Front

What is the height of a rectangular prism if the volume is 48 cm³, the length is 4 cm, and the width is 3 cm?

Back

Height = Volume ÷ (Length × Width) = 48 cm³ ÷ (4 cm × 3 cm) = 4 cm.

Front

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

Back

Volume = 2 m × 3 m × 4 m = 24 m³.

Front

If a box has a volume of 100 in³ and a width of 5 in, what is the height if the length is 4 in?

Back

Height = Volume ÷ (Length × Width) = 100 in³ ÷ (4 in × 5 in) = 5 in.

Front

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

Back

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

Front

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

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 length of 10 cm, width of 2 cm, and height of 5 cm?

Back

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