Editing Volume (section)

{{Short description|Quantity of three-dimensional space}}
{{Other uses}}
{{CS1 config|mode=cs1}}
{{Infobox physical quantity
| name = Volume
| image = Simple Measuring Cup.jpg
| caption = A [[measuring cup]] can be used to measure volumes of [[liquid]]s. This cup measures volume in units of [[Cup (unit)|cups]], [[fluid ounce]]s, and [[millilitre]]s.
| unit = [[cubic metre]]
| otherunits = [[Litre]], [[fluid ounce]], [[gallon]], [[quart]], [[pint]], [[teaspoon|tsp]], [[dram (unit)|fluid dram]], [[cubic inch|in<sup>3</sup>]], [[cubic yard|yd<sup>3</sup>]], [[Barrel (unit)|barrel]]
| symbols = ''V''
| baseunits = [[metre|m]]<sup>3</sup>
| dimension = '''L'''<sup>3</sup>
|extensive=yes
|intensive=no
|conserved=yes for [[solid]]s and [[liquid]]s, no for [[gas]]es, and [[Plasma (physics)|plasma]]{{efn|At constant temperature and pressure, ignoring other states of matter for brevity}}
|transformsas=conserved}}

'''Volume''' is a [[Measure (mathematics)|measure]] of [[Region (mathematics)|regions]] in [[three-dimensional space]].<ref name="NIST-2022">{{Cite journal |date=April 13, 2022 |title=SI Units - Volume |url=https://www.nist.gov/pml/owm/si-units-volume |journal=[[National Institute of Standards and Technology]] |access-date=August 7, 2022 |archive-date=August 7, 2022 |archive-url=https://web.archive.org/web/20220807105244/https://www.nist.gov/pml/owm/si-units-volume |url-status=live }}</ref> It is often quantified numerically using [[SI derived unit]]s (such as the [[cubic metre]] and [[litre]]) or by various [[imperial units|imperial]] or [[United States customary units|US customary units]] (such as the [[gallon]], [[quart]], [[cubic inch]]). The definition of [[length]] and height (cubed) is interrelated with volume. 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. 
By [[metonymy]], the term "volume" sometimes is used to refer to the corresponding region (e.g., [[bounding volume]]).<ref>{{cite web | title=IEC 60050 — Details for IEV number 102-04-40: "volume" | website=International Electrotechnical Vocabulary | url=https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=102-04-40 | language=ja | access-date=2023-09-19}}</ref><ref>{{cite web | title=IEC 60050 — Details for IEV number 102-04-39: "three-dimensional domain" | website=International Electrotechnical Vocabulary | url=https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=102-04-39 | language=ja | access-date=2023-09-19}}</ref>

In ancient times, volume was measured using similar-shaped natural containers. Later on, standardized containers were used. Some simple [[Three dimensional|three-dimensional]] shapes can have their volume easily calculated using [[arithmetic]] [[formula]]s. Volumes of more complicated shapes can be calculated with [[integral calculus]] if a formula exists for the shape's boundary. [[Zero-dimensional space|Zero-]], [[One-dimensional space|one-]] and [[two-dimensional]] objects have no volume; in [[Four-dimensional space|four]] and higher dimensions, an analogous concept to the normal volume is the hypervolume.