# Volume

Volume
A measuring cup can be used to measure volumes of liquids. This cup measures volume in units of cups, fluid ounces, and millilitres.
Common symbols
V
SI unitCubic metre [m3]
Other units
Litre, fluid ounce, gallon, quart, pint, tsp, fluid dram, in3, yd3, barrel
In SI base unitsm3
DimensionL3

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.[1] Volume is 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. Volumes of complicated shapes can be calculated with 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 just one of the substances. However, sometimes one substance dissolves in the other and in such cases 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.

## Units

Volume measurements from the 1914 The New Student's Reference Work.

Any unit of length gives a corresponding unit of volume: the volume of a cube whose sides have the given length. For example, a cubic centimetre (cm3) is the volume of a cube whose sides are one centimetre (1 cm) in length.

In the International System of Units (SI), the standard unit of volume is the cubic metre (m3). The metric system also includes the litre (L) as a unit of volume, where one litre is the volume of a 10-centimetre cube. Thus

1 litre = (10 cm)3 = 1000 cubic centimetres = 0.001 cubic metres,

so

1 cubic metre = 1000 litres.

Small amounts of liquid are often measured in millilitres, where

1 millilitre = 0.001 litres = 1 cubic centimetre.

In the same way, large amounts can be measured in megalitres, where

1 million litres = 1000 cubic metres = 1 megalitre.

Various other traditional units of volume are also in use, including the cubic inch, the cubic foot, the cubic yard, the cubic mile, the teaspoon, the tablespoon, the fluid ounce, the fluid dram, the gill, the pint, the quart, the gallon, the minim, the barrel, the cord, the peck, the bushel, the hogshead, the acre-foot and the board foot.

Other Languages
Afrikaans: Volume
العربية: حجم
azərbaycanca: Həcm
বাংলা: আয়তন
Bân-lâm-gú: Thé-chek
башҡортса: Күләм
беларуская: Аб’ём
беларуская (тарашкевіца)‎: Аб’ём
भोजपुरी: आयतन
български: Обем
bosanski: Volumen
català: Volum
Чӑвашла: Калăпăш
čeština: Objem
chiShona: Mumhu
Cymraeg: Cyfaint
dansk: Rumfang
Deutsch: Volumen
eesti: Ruumala
Ελληνικά: Όγκος
español: Volumen
Esperanto: Volumeno
فارسی: حجم
Fiji Hindi: Pasaar
français: Volume

한국어: 부피
հայերեն: Ծավալ
हिन्दी: आयतन
hrvatski: Obujam
Bahasa Indonesia: Volume
interlingua: Volumine
íslenska: Rúmmál
italiano: Volume
עברית: נפח
Jawa: Volume
Kabɩyɛ: Wonuu paɣlaka
ქართული: მოცულობა
қазақша: Көлем
Kiswahili: Mjao
Kreyòl ayisyen: Volim
kurdî: Qeware
Кыргызча: Көлөм
latviešu: Tilpums
Lëtzebuergesch: Volumen
lietuvių: Tūris
magyar: Térfogat
македонски: Зафатнина
മലയാളം: വ്യാപ്തം
मराठी: आकारमान
Mìng-dĕ̤ng-ngṳ̄: Tā̤-cék
монгол: Эзлэхүүн
Nederlands: Inhoud (volume)
नेपाली: आयतन

Nordfriisk: Rüm (miat)
norsk: Volum
norsk nynorsk: Volum
occitan: Volum
oʻzbekcha/ўзбекча: Hajm
ਪੰਜਾਬੀ: ਆਇਤਨ
Patois: Valyuum
polski: Objętość
português: Volume
Runa Simi: P'ulin
русский: Объём
संस्कृतम्: आयतनम्
Scots: Vollum
sicilianu: Vulumi
Simple English: Volume
slovenčina: Objem (matematika)
slovenščina: Prostornina
ślůnski: Uobjyntość
Soomaaliga: Mug
کوردی: قەبارە
српски / srpski: Запремина
srpskohrvatski / српскохрватски: Volumen
suomi: Tilavuus
svenska: Volym
Tagalog: Volyum
தமிழ்: கன அளவு
తెలుగు: ఘనపరిమాణము
Türkçe: Hacim
Türkmençe: Göwrüm birlikleri
українська: Об'єм
اردو: حجم
vèneto: Vołume
Tiếng Việt: Thể tích
Winaray: Bolyum