Difference between revisions of "Volume"
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==Etymology== | ==Etymology== | ||
[https://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 | [https://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: [ | + | *Date: [https://www.wikipedia.org/wiki/14th_Century 14th century] |
==Definitions== | ==Definitions== | ||
*1 a : a [[series]] of printed sheets bound typically in [[book]] [[form]] : book | *1 a : a [[series]] of printed sheets bound typically in [[book]] [[form]] : book | ||
| Line 9: | Line 9: | ||
:c : album 1c | :c : album 1c | ||
*2 : scroll 1a | *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 [ | + | *3 : the amount of [[space]] occupied by a [[three]]-[[dimensional]] object as [[measured]] in cubic [[units]] (as quarts or liters) : cubic capacity — see [https://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]] | *4 a (1) : amount; also : bulk, [[mass]] (2) : a considerable [[quantity]] | ||
:b : the amount of a substance occupying a particular volume | :b : the amount of a substance occupying a particular volume | ||
| Line 18: | Line 18: | ||
==Description== | ==Description== | ||
| − | '''Volume''' is how much [[three]]-[[dimensional]] [[space]] a substance ([[solid]], [[liquid]], [[gas]], or [[plasma]]) or shape occupies, often quantified [[numerically]] using the [ | + | '''Volume''' is how much [[three]]-[[dimensional]] [[space]] a substance ([[solid]], [[liquid]], [[gas]], or [[plasma]]) or shape occupies, often quantified [[numerically]] using the [https://en.wikipedia.org/wiki/SI_derived_unit SI derived unit], the [https://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 [ | + | [[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 [https://en.wikipedia.org/wiki/Integral_calculus integral calculus] if a [[formula]] exists for the shape's [[boundary]]. One-dimensional figures (such as [https://en.wikipedia.org/wiki/Line_(mathematics) lines]) and two-dimensional shapes (such as [https://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] | 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 [ | + | In [https://en.wikipedia.org/wiki/Differential_geometry differential geometry], volume is [[expressed]] by means of the volume [[form]], and is an important global [https://en.wikipedia.org/wiki/Riemannian_geometry Riemannian] invariant. In [https://en.wikipedia.org/wiki/Thermodynamics thermodynamics], volume is a fundamental [[parameter]], and is a [https://en.wikipedia.org/wiki/Conjugate_variables_(thermodynamics) conjugate variable] to [[pressure]].[https://en.wikipedia.org/wiki/Volume] |
[[Category: Physics]] | [[Category: Physics]] | ||
Latest revision as of 02:41, 13 December 2020
Etymology
Middle English, from Anglo-French, from Latin volumen roll, scroll, from volvere to roll
- Date: 14th century
Definitions
- 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 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
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 SI derived unit, the 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 integral calculus if a formula exists for the shape's boundary. One-dimensional figures (such as lines) and two-dimensional shapes (such as 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 differential geometry, volume is expressed by means of the volume form, and is an important global Riemannian invariant. In thermodynamics, volume is a fundamental parameter, and is a conjugate variable to pressure.[1]
