Volume

Quantity of three-dimensional space
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quantity symbol
V
defining formula
V = \iiint \mathrm{d} x \mathrm{d} y \mathrm{d} z
in defining formula
V
media
Wikidata property
volume_as_quantity
properties for this type
numeric_value
Commons category
Volumes
ISQ dimension
\mathsf{L}^3
Wikipedia creation date
8/16/2001
Wikipedia incoming links count
Wikipedia opening text
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. 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. 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.
Wikipedia redirect
Orders of magnitude (one cubic metre to one cubic kilometre)
Orders of magnitude (one cubic kilometre to one cubic megametre)
Volume measure
Orders of magnitude (volume)
Orders of magnitude (less than one cubic millimetre)
Orders of magnitude (one cubic millimetre to one cubic metre)
Volumes or capacities of other orders of magnitude
Volumes
Volumetric
Volume (geometry)
Volume (mathematics)
Orders of magnitude (one cubic megametre to one cubic gigametre)
Orders of magnitude (one cubic gigametre and greater)
Spatial volume
Volume (unit)
Volumetry
Volume of a cone
Liquid capacity
Fluid capacity
Units of volume
Cubic length
Wikipedia URL
Australian Educational Vocabulary ID
BNCF Thesaurus ID
Enciclopedia Italiana ID
Encyclopædia Britannica Online ID
Freebase ID
Getty AAT ID
GND ID
Great Russian Encyclopedia Online ID
JSTOR topic ID
PSH ID
Wolfram Language quantity ID
Volume
wurvoc.org measure ID
external links