Volume of Rectangular Prisms and Cubes

Front

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

Back

The volume of a rectangular prism is calculated using the formula: Volume = length × width × height.

Front

What is the formula for calculating the volume of a cube?

Back

The volume of a cube is calculated using the formula: Volume = side³ (side length cubed).

Front

If a rectangular prism has a length of 4 ft, a width of 3 ft, and a height of 1 ft, what is its volume?

Back

The volume is 12 cubic feet (4 ft × 3 ft × 1 ft = 12 ft³).

Front

How do you convert cubic inches to cubic feet?

Back

To convert cubic inches to cubic feet, divide the number of cubic inches by 1728 (since 1 cubic foot = 1728 cubic inches).

Front

What is the volume of a cube with a side length of 10 cm?

Back

The volume is 1000 cm³ (10 cm × 10 cm × 10 cm = 1000 cm³).

Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), and cubic feet (ft³).

Front

If a rectangular prism has a volume of 480 cubic units and a height of 10 units, what is the area of the base?

Back

The area of the base is 48 square units (Volume = base area × height; 480 = base area × 10, so base area = 480 / 10 = 48).

Front

What is the volume of a rectangular prism with dimensions 5 in, 4 in, and 1 in?

Back

The volume is 20 cubic inches (5 in × 4 in × 1 in = 20 in³).

Front

How do you find the volume of a prism if only the base area and height are known?

Back

Use the formula: Volume = base area × height.

Front

What is the relationship between the volume of a cube and its side length?

Back

The volume of a cube increases with the cube of its side length; if the side length doubles, the volume increases by a factor of eight.