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Volume Calculator

Calculate volume and surface area for five common three-dimensional shapes.

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Complete guide

Volume calculator for boxes, cubes, cylinders, cones and spheres

Select a shape and enter its required dimensions in one consistent unit. Calculator24 reports volume, surface area and the exact formula used.

Editorial checkSolid volume and surface formulas checked against OpenStax geometry references.Updated September 9, 2026

Choose the solid

Rectangular solids use length, width and height. Cubes use one side. Cylinders and cones use radius and height; spheres use radius.

Volume formulas

Volume counts three-dimensional space and therefore uses cubic units.

box=lwh; cube=s³cylinder=πr²h; cone=πr²h/3; sphere=4πr³/3

Surface area

Surface area covers the outside faces and uses square units. The result includes closed top and bottom surfaces.

Use consistent units

Convert every length before calculating. Mixing centimeters and meters would multiply the error across dimensions.

Capacity versus material

Geometric volume does not subtract wall thickness. For container capacity, enter internal dimensions; for exterior material, use outer dimensions and a dedicated fabrication estimate.

Required dimensions

Unused input fields are ignored for the selected solid.
SolidDimensions
Boxlength, width, height
Cubeside
Cylinderradius, height
Coneradius, height
Sphereradius

Frequently asked questions

What units does volume use?

The cube of the input unit, such as cm³ or ft³.

What is cylinder volume?

π times radius squared times height.

Is diameter the same as radius?

No. Radius is half the diameter.

Does surface area include every face?

Yes, the formulas model closed solids.

Can I mix units?

No. Convert all dimensions to the same unit first.

What to keep in mind

Use one consistent length unit for every dimension. Irregular objects require another measurement method.

Results display up to 8 decimal places; exported numbers preserve calculation precision. This is a calculation summary, not an official certificate.

Sources and references

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