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=== Units === {{main|Unit of volume|Orders of magnitude (volume)}} [[File:Visualisation litre gram.svg|thumb|Some SI units of volume to scale and approximate corresponding mass of water]] To ease calculations, a unit of volume is equal to the volume occupied by a [[unit cube]] (with a side length of one). Because the volume occupies three dimensions, if the [[metre]] (m) is chosen as a unit of length, the corresponding unit of volume is the [[cubic metre]] (m<sup>3</sup>). The cubic metre is also a [[SI derived unit]].<ref>{{Cite journal |date=February 25, 2022 |title=Area and Volume |url=https://www.nist.gov/pml/owm/area-and-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/20220807105300/https://www.nist.gov/pml/owm/area-and-volume |url-status=live }}</ref> Therefore, volume has a [[Dimensional analysis|unit dimension]] of L<sup>3</sup>.<ref>{{Cite book |last=Lemons |first=Don S. |title=A Student's Guide to Dimensional Analysis |date=16 March 2017 |publisher=[[Cambridge University Press]] |isbn=978-1-107-16115-3 |location=New York |page=38 |oclc=959922612}}</ref> The metric units of volume uses [[metric prefix]]es, strictly in [[Power of 10|powers of ten]]. When applying prefixes to units of volume, which are expressed in units of length cubed, the cube operators are applied to the unit of length including the prefix. An example of converting cubic centimetre to cubic metre is: 2.3 cm<sup>3</sup> = 2.3 (cm)<sup>3</sup> = 2.3 (0.01 m)<sup>3</sup> = 0.0000023 m<sup>3</sup> (five zeros).<ref name="IBWM-2019">{{SIbrochure9th}}</ref>{{Rp|page=143}} Commonly used prefixes for cubed length units are the cubic millimetre (mm<sup>3</sup>), cubic centimetre (cm<sup>3</sup>), cubic decimetre (dm<sup>3</sup>), cubic metre (m<sup>3</sup>) and the cubic kilometre (km<sup>3</sup>). The conversion between the prefix units are as follows: 1000 mm<sup>3</sup> = 1 cm<sup>3</sup>, 1000 cm<sup>3</sup> = 1 dm<sup>3</sup>, and 1000 dm<sup>3</sup> = 1 m<sup>3</sup>.<ref name="NIST-2022" /> The [[metric system]] also includes the [[litre]] (L) as a unit of volume, where 1 L = 1 dm<sup>3</sup> = 1000 cm<sup>3</sup> = 0.001 m<sup>3</sup>.<ref name="IBWM-2019" />{{Rp|page=145}} For the litre unit, the commonly used prefixes are the millilitre (mL), centilitre (cL), and the litre (L), with 1000 mL = 1 L, 10 mL = 1 cL, 10 cL = 1 dL, and 10 dL = 1 L.<ref name="NIST-2022" /> Various other [[Imperial units|imperial]] or [[United States customary units|U.S. customary]] units of volume are also in use, including:<ref name="Treese-2018" />{{Rp|page=|pages=396β398}} * [[cubic inch]], [[cubic foot]], [[cubic yard]], [[acre-foot]], [[cubic mile]]; * [[minim (unit)|minim]], [[Dram (unit)|drachm]], [[fluid ounce]], [[pint]]; * [[teaspoon]], [[tablespoon]]; * [[gill (volume)|gill]], [[quart]], [[gallon]], [[barrel (unit)|barrel]]; * [[cord (unit)|cord]], [[peck]], [[bushel]], [[hogshead]].
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