How to Calculate Volume From Centimeters

By Chance E. Gartneer

The volumes of many different three-dimensional objects can be calculated using some common mathematical formulas. Calculating the volume of these objects when you have the necessary measurements in centimeters gives a result in centimeters cubed, or cm^3.

Calculate the volume of a cube by cubing one side's length in centimeters. A cube is three-dimensional geometric object with six square surfaces. For example, if the length of one side is 5 cm, the volume is 5 x 5 x 5, or 125 cm^3.

Calculate the volume of a rectangular object by multiplying the length, width and height together. For example, if the length is 4 cm, the width is 6 cm, and the height is 7.5 cm, the volume is 4 x 6 x 7.5, or 180 cm^3.

Calculate the volume of a sphere by cubing the radius, multiplying this number by π or pi and then multiplying that product by 4/3. For example, if the radius is 2 cm, cube 2 cm to get 8 cm^2; multiply 8 by π, to get 25.133; and multiply 25.133 by 4/3 to get 33.51. So, the volume of the sphere is 33.51 cm^3.

Calculate the volume of a cylinder by squaring the radius and multiplying it by the height and π. For example, if the radius of the cylinder is 6 cm and its height is 8 cm, 6 squared is 36. 36; multiplying it by 8 results in 288; and 288 multiplied by π equals 904.78. So, the volume of the cylinder is 904.78 cm^3.

Calculate the volume of a cone by squaring the radius, multiplying that by the height and π, and divide that product by 3. For example, if the radius is 4 cm and the height is 5 cm, squaring 4 results in 16, and 16 multiplied by 5 is 80. 80 multiplied by π results in 251.33, and 251.33 divided by 3 equals 83.78. The volume of the cone is 83.78 cm^3.

Tip

Volume measurements in cubic centimeters can be changed to milliliters, because the two measurements are equivalent. 1,000 cm^3 equals one liter.

About the Author

Chance E. Gartneer began writing professionally in 2008 working in conjunction with FEMA. He has the unofficial record for the most undergraduate hours at the University of Texas at Austin. When not working on his children's book masterpiece, he writes educational pieces focusing on early mathematics and ESL topics.