**Volume** is the quantity of three-dimensional space enclosed by some closed boundary, 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. 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 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 one of the substances. However, sometimes one substance dissolves in the other and 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.

Read more about Volume: Units, Related Terms, Volume Formulas

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### Famous quotes containing the word volume:

“F.R. Leavis’s “eat up your broccoli” approach to fiction emphasises this junkfood/wholefood dichotomy. If reading a novel—for the eighteenth century reader, the most frivolous of diversions—did not, by the middle of the twentieth century, make you a better person in some way, then you might as well flush the offending *volume* down the toilet, which was by far the best place for the undigested excreta of dubious nourishment.”

—Angela Carter (1940–1992)

“I dare say I am compelled, unconsciously compelled, now to write *volume* after *volume*, as in past years I was compelled to go to sea, voyage after voyage. Leaves must follow upon each other as leagues used to follow in the days gone by, on and on to the appointed end, which, being Truth itself, is One—one for all men and for all occupations.”

—Joseph Conrad (1857–1924)

“We are too civil to books. For a few golden sentences we will turn over and actually read a *volume* of four or five hundred pages.”

—Ralph Waldo Emerson (1803–1882)