Finding the Volume of Rectangular Prisms

Front

What is the formula to find 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 meters (m³), liters (L), and gallons.

Front

How do you find the missing dimension of a rectangular prism if you know the volume and the other two dimensions?

Back

Use the formula: Missing dimension = Volume ÷ (length × width).

Front

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

Back

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

Front

If the volume of a rectangular prism is 120 cm³ and its height is 4 cm, what is the area of the base?

Back

Area of the base = Volume ÷ height = 120 cm³ ÷ 4 cm = 30 cm².

Front

What happens to the volume of a rectangular prism if you double the height?

Back

The volume will also double, assuming the length and width remain the same.

Front

If a box has a volume of 200 in³ and a width of 5 in and a height of 4 in, what is the length?

Back

Length = Volume ÷ (width × height) = 200 in³ ÷ (5 in × 4 in) = 10 in.

Front

What is the volume of a rectangular prism with dimensions 3 ft, 4 ft, and 5 ft?

Back

Volume = 3 ft × 4 ft × 5 ft = 60 ft³.

Front

If a rectangular prism has a volume of 500 cm³ and a length of 10 cm, what is the width if the height is 5 cm?

Back

Width = Volume ÷ (length × height) = 500 cm³ ÷ (10 cm × 5 cm) = 10 cm.