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 VolumeUnits, Related Terms, Volume Formulas

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Intracranial Pressure - The Monro-Kellie Hypothesis
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Volume Formula Derivations - Cone
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Eddie Van Halen - Style and Influence - Volume Swells
... Eddie used a volume technique in the instrumental "Cathedral" ... He hammered notes on the fretboard with one hand while rolling the volume knob with the other ... This "volume swells" sound (also known as "violining", because of the way it sounds) was originally popularized by 1970s progressive rock bands like Genesis (Steve ...
Volume Serial Number
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Vampirella - Collected Editions - Warren Magazine Stories
... Tales #1-2 Vampirella Crimson Chronicles Volume 1 (reprints from #1-10), 2004, ISBN 978-0-910692-96-0 Volume 2 (reprints from #11-18), 2004, ISBN 978-0-910692-95-3 Volume 3 (reprint ...

Famous quotes containing the word volume:

    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)

    Although volume upon volume is written to prove slavery a very good thing, we never hear of the man who wishes to take the good of it, by being a slave himself.
    Abraham Lincoln (1809–1865)

    A big leather-bound volume makes an ideal razorstrap. A thin book is useful to stick under a table with a broken caster to steady it. A large, flat atlas can be used to cover a window with a broken pane. And a thick, old-fashioned heavy book with a clasp is the finest thing in the world to throw at a noisy cat.
    Mark Twain [Samuel Langhorne Clemens] (1835–1910)