volume

Volume is a measure of regions in three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or 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 th

AI overview

Volume is a measure of how much three-dimensional space something takes up, typically expressed in units like cubic meters or gallons. It matters because it tells us practical things like how much liquid a container can hold or how much space an object occupies.

AI-generated from the Wikipedia summary — may contain errors.

Key facts

Physical quantity.name: Volume
Physical quantity.image: Simple Measuring Cup.jpg
Physical quantity.caption: A measuring cup can be used to measure volumes of liquids. This cup measures volume in units of cups, fluid ounces, and millilitres.
Physical quantity.unit: cubic metre
Physical quantity.otherunits: Litre, fluid ounce, gallon, quart, pint, tsp, fluid dram, in3, yd3, barrel
Physical quantity.symbols: V
Physical quantity.baseunits: m3
Physical quantity.dimension: L3
Physical quantity.extensive: yes
Physical quantity.intensive: no
Physical quantity.conserved: yes for solids and liquids, no for gases and plasma
Physical quantity.transformsas: conserved

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Wikidata facts

Image: Volumes 856923.png

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Commons category: Volumes
quantity symbol (string): V

Sources (4)

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~13 min read

Article

17 sections

Contents

History
Ancient history
Calculus and standardization of units
Metrication and redefinitions
Properties
Measurement
Units
Capacity and volume
Computation
Basic shapes
Integral calculus
Geometric modeling
Derived quantities
See also
Notes
References
External links

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