Volume Calculator

The Volume Calculator converts between different volume units and calculates volumes of common geometric shapes. Essential for engineering, construction, and scientific applications.

Modify the values and click the calculate button to use
Calculation Type
Input Volume
From Unit

Related Density Calculator | Pressure Calculator | Temperature Calculator

Understanding Volume

Volume is the amount of three-dimensional space occupied by a substance or enclosed by a surface. It's measured in cubic units and is essential for engineering calculations, material quantities, and fluid systems.

Common Volume Units

Unit Symbol Equivalent Common Use
Cubic meter 1000 L Engineering, construction
Liter L 1000 mL Liquids, chemicals
Cubic foot ft³ 28.317 L US construction
US Gallon gal 3.785 L Fuel, liquids (US)

Volume Formulas

Basic Shapes

Rectangular/Cubic: V = L × W × H

Cylindrical: V = π × r² × h

Spherical: V = (4/3) × π × r³

Conical: V = (1/3) × π × r² × h

Tank Volumes

Horizontal Cylinder: Complex formula based on fill level

Vertical Cylinder: V = π × r² × h × (fill level %)

Rectangular Tank: V = L × W × H × (fill level %)

Applications

Construction and Engineering

Manufacturing and Processing

Environmental and Utilities

Conversion Factors

From To Multiply by
L 1000
ft³ 35.314
L US gal 0.2642
ft³ US gal 7.481

Note: Volume calculations assume standard conditions and regular geometric shapes. For irregular shapes or complex geometries, consider using integration methods or specialized software. Always verify units and consider measurement accuracy for critical applications.