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Free Volume Calculator

Volume of common 3D shapes: box, cylinder, sphere, cone.

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Inputs

Result

Volume

960.00 cm³

In liters0.960 L
In US gallons0.2536 gal
In m³0.000960 m³

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Short answer

Box: L·W·H. Cylinder: π·r²·h. Sphere: 4/3·π·r³. Cone: 1/3·π·r²·h.

What is the Volume Calculator?

Volumes of the four most common 3D shapes, with automatic conversion to liters, gallons, and cubic meters.

How does the Volume Calculator work?

Pick the shape and enter dimensions. The formula uses only the relevant fields.

Formula

box: L·W·H cylinder: π·r²·h sphere: (4/3)·π·r³ cone: (1/3)·π·r²·h

Variables

  • rRadius
  • hHeight

Explanation

For the sphere, dimension 1 is the radius and the other inputs are ignored.

Examples

Example 1: 10 × 8 × 12 cm box

960 cm³ ≈ 0.96 L ≈ 0.254 US gal.

Applications

  • Aquarium sizing
  • Container capacity
  • Concrete estimates

Advantages

  • Four shapes in one tool
  • Multi-unit output

Limitations

  • Rectangular boxes only — for L-shaped tanks, split and sum

Common mistakes

  • Using diameter as radius in cylinder/sphere formulas

Tips

  • 1 liter = 1000 cm³ = 0.264 US gallon

Related concepts

The Volume Calculator sits inside the Everyday & Utility Calculators hub, in the home & energy cluster. Utility usage and household running costs. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

kilowatt-hourtariffstandby loadefficiency rating

Practical use cases and industry applications

Understanding Volume

Volumes of the four most common 3D shapes, with automatic conversion to liters, gallons, and cubic meters. Within everyday & utility calculators, volume belongs to the home & energy cluster, where it shares terminology and assumptions with closely related tools.

Learning how volume is calculated

For the sphere, dimension 1 is the radius and the other inputs are ignored. Working through the variables one at a time — r, h — makes the result reproducible by hand and easier to sanity-check.

Using volume to make a decision

Aquarium sizing Container capacity Concrete estimates Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

How volume compares with related measures

kilowatt-hour, tariff, standby load, efficiency rating all describe adjacent aspects of home & energy. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

Frequently asked questions

How do I convert to gallons?

1 US gallon = 3785.41 cm³. Divide cm³ by 3785.41.

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