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Volume (also called capacity) is a quantification of how much space an object occupies. The SI unit for volume is the cubic metre (American spelling meter).

The volume of a solid object is a numerical value given to describe the three-dimensional concept of how much space it occupies. One-dimensional objects (such as lines) and two-dimensional objects (such as squaress) are assigned zero volume in three-dimensional space.

Volume in acoustics is used as a synonym for loudness. It is a common term for the amplitude or the level of sound. See also: DB(A), Sone, phon

Less commonly, in mathematics, volume can refer to the amount of space an n-dimensional object fills up, for some n > 3. Volumes are defined by means of integral calculus, by the decomposition of complex sets into small volume elements. Volume (Cx3) is the antiderivative of area (Cx2). More simply, for a perfect closed curve, which is the sphere in three dimensions, the volume is the simple integral of the surface area. Thus, the surface area of a sphere is 4πr2, and the volume is 4/3πr3.

Table of contents
1 Volume formulae
2 Volume measures: SI
3 Volume measures: USA
4 Volume measures: UK
5 Volume measures: cooking
6 Relationship to density
7 Volume comparisons
8 See also
9 External links

Volume formulae

Common equations for volume:

Volume measures: SI

A commonly used SI unit for volume is the litre (American spelling liter), and one thousand litres is the volume of a cubic metre, which was formerly termed a stere. A cubic centimeter is the same volume as a millilitre.

Volume measures: USA

Traditional US measures of volume:

The acre-foot is often used in measuring the volume of water in an aquifer. It is the volume of water that would cover an area of one acre to a depth of one foot.

Volume measures: UK

Traditional UK measures of volume:

Volume measures: cooking

Traditional cooking measures for volume also include:

Relationship to density

The volume, of an object, is equal to its mass divided by its average density. This is a rearrangement of the calculation of density as mass per unit volume.

Volume comparisons

To help compare different volumes, see Orders of magnitude (volume)

See also

External links