Volume Calculator
The following is a list of volume calculators for several common shapes. Please fill the corresponding fields and click the "Calculate" button to use.
Reference
Volume is the three-dimensional space a substance occupies. Volumes of many simple shapes can be calculated by using simple formulas. More complicated shapes sometimes can be cut into simple shapes and add the volumes up for the total. Some other complicated shapes can be calculated by integral calculus if a formula exists for the shape's boundary. The volume of even more complicated shapes can be estimated with mathematical methods, such as finite element method. If the density is uniform, the volume of a substance can be calculated from the weight. This volume calculator provides solutions for some of the most common simple shapes.
Volume Formulas of Simple Shapes
Ball
-
volume = 4/3πr3
where r is the radius
Cone
-
volume = 1/3πr2h
where r is the radius of the base, h is the height
Cube
-
volume = a3
where a is the edge length
Cylinder
-
volume = πr2h
where r is the radius of the base, h is the height
Rectangular
-
volume = abc
where a, b, and c are the length of the three edges
Common Volume Units
| Unit | cubic meters | milliliters |
| milliliter (cubic centimeter) | 0.000001 | 1 |
| cubic inch | 0.00001639 | 16.39 |
| pint | 0.000473 | 473 |
| quart | 0.000946 | 946 |
| liter | 0.001 | 1,000 |
| gallon | 0.003785 | 3,785 |
| cubic foot | 0.028317 | 28,317 |
| cubic yard | 0.764555 | 764,555 |
| cubic meter | 1 | 1,000,000 |
| cubic kilometer | 1,000,000,000 | 1015 |
