# How to Find Volume of a Shape?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use ‘depth’ instead of ‘height’.

## How to Find Volume of a Shape?

Finding the volume of a shape is an important skill in mathematics and has a variety of applications. Knowing how to calculate the volume of a shape can help you determine the amount of material needed for a construction project, or the capacity of a container. Fortunately, there are several different formulas that can be used to calculate the volume of a variety of shapes.

For cubes and rectangular prisms, the formula for volume is the length times the width times the height. All three of these measurements must be in the same unit of measurement, such as inches, feet, or centimeters. For example, if the length is 4 inches, the width is 3 inches, and the height is 2 inches, the formula would be 4 x 3 x 2 = 24 cubic inches.

The volume of a cylinder is equal to pi times the radius squared times the height. Pi is equal to 3.14, so if the radius is 5 inches and the height is 10 inches, the volume of the cylinder would be 3.14 x 5 x 5 x 10 = 785 cubic inches.

The volume of a sphere is equal to four-thirds times pi times the radius cubed. So if the radius is 4 inches, the volume would be 4.18 x 4