Select a shape, enter the dimensions, and get the volume instantly. The formula for each shape is shown so you can see exactly how the result is computed.
Volume is the amount of three-dimensional space an object occupies. Every shape has its own formula, but they all boil down to multiplying a base area by some height (or using a known geometric constant like pi).
A water tank is a cylinder 5 meters across (radius = 2.5 m) and 10 meters tall. Calculate volume in cubic meters.
For the official definition and deeper reading, see the Wolfram MathWorld entry on volume.
Need the floor area instead of 3D volume? Use the square footage calculator. Working on an electrical circuit? The Ohm's law calculator handles voltage, current, and resistance.
Solve quadratics, find slopes, work out standard deviation, and more.
The formula depends on the shape. For a rectangular box, multiply length x width x height. For a cylinder, use pi x radius squared x height. For a sphere, use (4/3) x pi x radius cubed. This calculator handles all six common shapes and shows the formula used.
Break the object into simpler parts, compute each part separately, then add the volumes together. A silo, for example, is a cylinder topped with a cone. Calculate each volume and sum them.
Find the volume in cubic inches, then divide by 231. One US gallon equals 231 cubic inches. A rectangular tank that is 24 in x 12 in x 12 in has a volume of 3,456 cubic inches, which works out to 3,456 / 231 = about 14.96 gallons.
Volume per volume is a concentration measure used in chemistry. It expresses how many units of one substance are present per 100 units of total solution. A 5% v/v solution contains 5 mL of solute in every 100 mL of solution.
Editor at Encore Editorial, Chris Terry sets the editorial standards here and turns dense topics into plain English. He has written widely on education, finance, and consumer markets.