Volume Calculator

Mathematics

This geometric volume calculator computes three-dimensional capacity for rectangular prisms, cubes, spheres, cylinders, and cones from fundamental spatial dimensions. Enter your shape measurements to determine enclosed capacity for shipping packaging, fluid storage tanks, concrete pours, and industrial manufacturing molds.

Calculated Result
24

Volume = 24 cubic units

Formula: V = 4 × 3 × 2

About this calculator

Calculating three-dimensional enclosed capacity is an indispensable requirement across freight logistics, structural civil engineering, water tank fabrication, and chemical processing. Users select a three-dimensional solid profile—such as a rectangular box, cube, sphere, cylinder, or cone—and enter key linear parameters including radius, diameter, length, and perpendicular height. The tool applies standard geometric volume equations to determine the complete internal space enclosed by the object across commercial and industrial physical operations.

The resulting output reports total spatial volume in cubic units corresponding directly to your linear input scale. When utilizing volume figures for practical applications such as filling fluid containers or pouring concrete footings, remember to subtract container wall thicknesses if your measurements were taken externally. Furthermore, converting cubic measurements into liquid capacity requires multiplying by specific density or volume ratios, such as one thousand liters per cubic meter.

How It Works & Formula

FormulaSphere V = ⁴⁄₃πr³ | Cylinder V = πr²h | Cone V = ⅓πr²h

Prisms and cubes multiply cross-sectional base area by length or height (V = lwh for boxes, V = s³ for cubes). Cylinders multiply circular base area by height (V = πr²h), whereas cones take one-third of that cylindrical volume (V = ⅓πr²h). Spherical volume scales with the cube of the radius according to V = ⁴⁄₃πr³.