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Volume
From Wikipedia, the free encyclopedia
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For other uses, see
Volume (disambiguation).
A
measuring cup can be used to measure volumes of
liquids. This cup measures volume in units of
cups,
fluid ounces, and
millilitres.
Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains, 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. The volumes of more complicated shapes can be calculated by
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
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.
Contents
Units
Volume measurements from
The New Student's Reference Work.
Approximate conversion to millilitres:
Imperial
U.S. liquid
U.S. dry
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