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.
Other articles related to "volume":
... However, using calculus, the volume of a cone is the integral of an infinite number of infinitesimally small circular slabs of thickness dx ... The calculation for the volume of a cone of height h, whose base is centered at (0,0,0) with radius r, is as follows ... The volume of the cone can then be calculated as ...
... 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 Hackett ...
... Legendary 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 ...
... A volume serial number is a serial number assigned to a disk volume or tape volume ... uppercase, must start with a letter, and identifies a volume to the system in unique manner ... For example "SYSRES" is often used for a system residence volume ...
... The pressure-volume relationship between ICP, volume of CSF, blood, and brain tissue, and cerebral perfusion pressure (CPP) is known as the Monro-Kellie doctrine ... compartment is incompressible, and the volume inside the cranium is a fixed volume ... its constituents (blood, CSF, and brain tissue) create a state of volume equilibrium, such that any increase in volume of one of the cranial constituents must be compensated by a ...
Famous quotes containing the word volume:
“She carries a book but it is not
the tome of the ancient wisdom,
the pages, I imagine, are the blank pages
of the unwritten volume of the new.”
—Hilda Doolittle (18861961)
“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 (18031882)
“To be thoroughly conversant with a Mans heart, is to take our final lesson in the iron-clasped volume of despair.”
—Edgar Allan Poe (18091845)