Volume Calculator

Calculate the volume of common 3D shapes — cube, sphere, cylinder, cone, and rectangular prism.

Select the 3D shape.

Edge for cube, radius for sphere/cylinder/cone, length for rectangular prism.

Height for cylinder/cone, width for rectangular prism. Not used for cube/sphere.

Height for rectangular prism. Not used for other shapes.

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Volume Formulas for 3D Shapes

Cube: V = s³. Sphere: V = 4/3 × πr³. Cylinder: V = πr²h. Cone: V = 1/3 × πr²h. Rectangular Prism: V = l × w × h. A cone is exactly 1/3 the volume of a cylinder with the same base and height, which is a useful relationship to remember.

Understanding Volume Units

Volume is measured in cubic units — cubic inches (in³), cubic feet (ft³), cubic meters (m³), liters, gallons, etc. Key conversions: 1 ft³ = 1,728 in³, 1 m³ = 1,000 liters, 1 gallon ≈ 231 in³, 1 liter = 1,000 cm³. Always use consistent units in calculations.

Volume vs Capacity

Volume measures how much 3D space an object occupies. Capacity measures how much a container can hold. They are related but use different units: volume uses cubic units (m³, ft³), capacity uses liquid units (liters, gallons). In practice, they are often used interchangeably.

Real-World Volume Calculations

Volume calculations are needed for swimming pools (water capacity), shipping containers, concrete work, aquariums, storage tanks, cooking and baking, and packaging design. Knowing how to calculate volume helps estimate materials, costs, and capacities accurately.

Frequently Asked Questions