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From Nordan Symposia
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==Etymology==
[http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English], from Anglo-French, from [[Latin]] volumen roll, scroll, from volvere to roll
*Date: [http://www.wikipedia.org/wiki/14th_Century 14th century]
==Definitions==
*1 a : a [[series]] of printed sheets bound typically in [[book]] [[form]] : book
:b : a series of issues of a [[periodical]]
:c : album 1c
*2 : scroll 1a
*3 : the amount of [[space]] occupied by a [[three]]-[[dimensional]] object as [[measured]] in cubic [[units]] (as quarts or liters) : cubic capacity — see [http://www.merriam-webster.com/table/dict/metric_system.htm metric system table], weight table
*4 a (1) : amount; also : bulk, [[mass]] (2) : a considerable [[quantity]]
:b : the amount of a substance occupying a particular volume
:c : mass or the [[representation]] of mass in [[art]] or [[architecture]]
*5 : the [[degree]] of loudness or the [[intensity]] of a [[sound]]; also : loudness
==Synonyms==
*Bulk
==Description==
'''Volume''' is how much [[three]]-[[dimensional]] [[space]] a substance ([[solid]], [[liquid]], [[gas]], or [[plasma]]) or shape occupies, often quantified [[numerically]] using the [http://en.wikipedia.org/wiki/SI_derived_unit SI derived unit], the [http://en.wikipedia.org/wiki/Cubic_metre cubic metre]. The volume of a container is generally [[understood]] to be the capacity of the container, i. e. the amount of [[fluid]] ([[gas]] or [[liquid]]) that the container could hold, rather than the amount of [[space]] the container itself displaces.
[[Three]] [[dimensional]] [[mathematical]] shapes are also assigned volumes. Volumes of some simple shapes, such as regular, straight-edged, and circular shapes can be easily calculated using arithmetic [[formulas]]. The volumes of more complicated shapes can be calculated by [http://en.wikipedia.org/wiki/Integral_calculus integral calculus] if a [[formula]] exists for the shape's [[boundary]]. One-dimensional figures (such as [http://en.wikipedia.org/wiki/Line_(mathematics) lines]) and two-dimensional shapes (such as [http://en.wikipedia.org/wiki/Square_(geometry) squares]) are assigned zero volume in the three-dimensional space.
The volume of a solid (whether regularly or irregularly shaped) can be determined by fluid displacement. Displacement of liquid can also be used to determine the volume of a gas. The combined volume of two substances is usually greater than the volume of one of the substances. However, sometimes one substance dissolves in the other and the combined volume is not additive.[2]
In [http://en.wikipedia.org/wiki/Differential_geometry differential geometry], volume is [[expressed]] by means of the volume [[form]], and is an important global [http://en.wikipedia.org/wiki/Riemannian_geometry Riemannian] invariant. In [http://en.wikipedia.org/wiki/Thermodynamics thermodynamics], volume is a fundamental [[parameter]], and is a [http://en.wikipedia.org/wiki/Conjugate_variables_(thermodynamics) conjugate variable] to [[pressure]].[http://en.wikipedia.org/wiki/Volume]
[[Category: Physics]]
==Etymology==
[http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English], from Anglo-French, from [[Latin]] volumen roll, scroll, from volvere to roll
*Date: [http://www.wikipedia.org/wiki/14th_Century 14th century]
==Definitions==
*1 a : a [[series]] of printed sheets bound typically in [[book]] [[form]] : book
:b : a series of issues of a [[periodical]]
:c : album 1c
*2 : scroll 1a
*3 : the amount of [[space]] occupied by a [[three]]-[[dimensional]] object as [[measured]] in cubic [[units]] (as quarts or liters) : cubic capacity — see [http://www.merriam-webster.com/table/dict/metric_system.htm metric system table], weight table
*4 a (1) : amount; also : bulk, [[mass]] (2) : a considerable [[quantity]]
:b : the amount of a substance occupying a particular volume
:c : mass or the [[representation]] of mass in [[art]] or [[architecture]]
*5 : the [[degree]] of loudness or the [[intensity]] of a [[sound]]; also : loudness
==Synonyms==
*Bulk
==Description==
'''Volume''' is how much [[three]]-[[dimensional]] [[space]] a substance ([[solid]], [[liquid]], [[gas]], or [[plasma]]) or shape occupies, often quantified [[numerically]] using the [http://en.wikipedia.org/wiki/SI_derived_unit SI derived unit], the [http://en.wikipedia.org/wiki/Cubic_metre cubic metre]. The volume of a container is generally [[understood]] to be the capacity of the container, i. e. the amount of [[fluid]] ([[gas]] or [[liquid]]) that the container could hold, rather than the amount of [[space]] the container itself displaces.
[[Three]] [[dimensional]] [[mathematical]] shapes are also assigned volumes. Volumes of some simple shapes, such as regular, straight-edged, and circular shapes can be easily calculated using arithmetic [[formulas]]. The volumes of more complicated shapes can be calculated by [http://en.wikipedia.org/wiki/Integral_calculus integral calculus] if a [[formula]] exists for the shape's [[boundary]]. One-dimensional figures (such as [http://en.wikipedia.org/wiki/Line_(mathematics) lines]) and two-dimensional shapes (such as [http://en.wikipedia.org/wiki/Square_(geometry) squares]) are assigned zero volume in the three-dimensional space.
The volume of a solid (whether regularly or irregularly shaped) can be determined by fluid displacement. Displacement of liquid can also be used to determine the volume of a gas. The combined volume of two substances is usually greater than the volume of one of the substances. However, sometimes one substance dissolves in the other and the combined volume is not additive.[2]
In [http://en.wikipedia.org/wiki/Differential_geometry differential geometry], volume is [[expressed]] by means of the volume [[form]], and is an important global [http://en.wikipedia.org/wiki/Riemannian_geometry Riemannian] invariant. In [http://en.wikipedia.org/wiki/Thermodynamics thermodynamics], volume is a fundamental [[parameter]], and is a [http://en.wikipedia.org/wiki/Conjugate_variables_(thermodynamics) conjugate variable] to [[pressure]].[http://en.wikipedia.org/wiki/Volume]
[[Category: Physics]]
