What This Calculator Does

The Volume Calculator and Converter has two tasks on one page: convert a known volume, or calculate a complete solid from dimensions. Geometry covers rectangular prisms, cylinders, spheres and cones with labelled diagrams. The existing cubic and US liquid conversions remain available and update live.

When to Use It

Use conversion mode when the volume is known, and geometry mode when dimensions are known. The route remains conversions/volume; legacy mode=cube prism links remain valid. For packaging or price estimates use concrete or paint.

Inputs Explained

Conversion mode accepts a non-negative volume with source and result units. Prism dimensions are length, width and height. Cylinders and cones use radius and perpendicular height; spheres use radius only. Choose metres, centimetres, millimetres, feet or inches. Mode, shape, dimensions and unit values can be shared in the current URL.

How the Calculation Works

Prism: V=lwh. Cylinder: V=πr²h. Sphere: V=4πr³/3. Cone: V=πr²h/3. Dimensions convert to metres before volume is calculated in m³. One litre is 0.001 m³, one cubic foot is 0.028316846592 m³, and one US gallon is 231 in³ or 3.785411784 L. Liquid conversion does not infer density or mass.

Example

A 2×3×4 m prism has 24 m³ or 24000 L. A cylinder with radius 2 m and height 3 m has 12π≈37.699112 m³. The matching cone has 4π≈12.566371 m³. A sphere with radius 2 m has 32π/3≈33.510322 m³. In conversion mode, 1 US gal gives 3.785412 L when displayed to six decimal places.