# Dictionary Definition

volumetric adj : of or relating to measurement by
volume; "volumetric analysis" [syn: volumetrical]

# User Contributed Dictionary

# Extensive Definition

The volume of any solid, liquid, or gas is how
much three-dimensional
space it occupies, often quantified numerically. One-dimensional
figures (such as lines)
and two-dimensional shapes (such as squares)
are assigned zero volume in the three-dimensional space.

Volumes of straight-edged and circular shapes are
calculated using arithmetic formulae. Volumes of other curved
shapes are calculated using integral
calculus, by approximating the given body with a large amount
of small cubes or
concentric cylindrical
shells, and adding the individual volumes of those shapes. The
volume of irregularly shaped objects can be determined by displacement.
If an irregularly shaped object is less dense than the fluid, you
will need a weight to attach to the floating object. A sufficient
weight will cause the object to sink. The final volume of the
unknown object can be found by subtracting the volume of the
attached heavy object and the total fluid volume displaced.

The generalization of volume to arbitrarily many
dimensions is called content.
In differential
geometry, volume is expressed by means of the volume
form.

Volume and capacity are sometimes distinguished,
with capacity being used for how much a container can hold (with
contents measured commonly in litres or its derived units), and
volume being how much space an object displaces (commonly measured
in cubic
metres or its derived units). The volume of a dispersed gas is
the capacity of its container. If more gas is added to a closed
container, the container either expands (as in a balloon) or the
pressure inside the
container increases.

Volume and capacity are also distinguished in a
capacity management setting, where capacity is defined as volume
over a specified time period.

## Volume formulas

(The units of volume depend on the units of length - if the lengths are in meters, the volume will be in cubic meters, etc)The volume of a parallelepiped is the
absolute value of the scalar
triple product of the subtending vectors, or equivalently the
absolute value of the determinant of the
corresponding matrix.

The volume of any tetrahedron, given its
vertices a, b, c and d, is (1/6)·|det(a−b,
b−c, c−d)|, or any other combination of pairs
of vertices that form a simply connected graph.

## Volume measures: cooking

Traditional cooking measures for volume also
include:

- teaspoon = 1/6 U.S. fluid ounce (about 4.929 mL)
- teaspoon = 1/6 Imperial fluid ounce (about 4.736 mL)
- teaspoon = 5 mL (metric)
- tablespoon = ½ U.S. fluid ounce or 3 teaspoons (about 14.79 mL)
- tablespoon = ½ Imperial fluid ounce or 3 teaspoons (about 14.21 mL)
- tablespoon = 15 mL or 3 teaspoons (metric)
- tablespoon = 5 fluidrams (about 17.76 mL) (British)
- cup = 8 U.S. fluid ounces or ½ U.S. liquid pint (about 237 mL)
- cup = 8 Imperial fluid ounces or ½ fluid pint (about 227 mL)
- cup = 250 mL (metric)

## Relationship to density

The density of an object is defined
as mass per unit volume.

The term specific
volume is used for volume divided by mass. This is the reciprocal
of the mass
density, expressed in units such as cubic meters per kilogram
(m³·kg-1).

## Volume formula derivation

## See also

## External links

volumetric in Afrikaans: Volume

volumetric in Bulgarian: Обем

volumetric in Catalan: Volum

volumetric in Czech: Objem

volumetric in Danish: Rumfang

volumetric in German: Volumen

volumetric in Modern Greek (1453-): Όγκος

volumetric in Spanish: Unidades de volumen

volumetric in Esperanto: Volumeno

volumetric in Basque: Bolumen (espazioa)

volumetric in French: Volume

volumetric in Korean: 부피

volumetric in Croatian: Obujam

volumetric in Indonesian: Volume

volumetric in Italian: Volume

volumetric in Hebrew: נפח

volumetric in Luxembourgish: Volumen

volumetric in Lithuanian: Tūris

volumetric in Hungarian: Térfogat

volumetric in Macedonian: Волумен

volumetric in Malay (macrolanguage): Isi
padu

volumetric in Dutch: Inhoud

volumetric in Japanese: 体積

volumetric in Norwegian: Volum

volumetric in Norwegian Nynorsk: Volum

volumetric in Polish: Objętość
(matematyka)

volumetric in Portuguese: Volume

volumetric in Romanian: Volum

volumetric in Quechua: P'ulin

volumetric in Russian: Объём

volumetric in Simple English: Volume

volumetric in Slovak: Objem

volumetric in Slovenian: Prostornina

volumetric in Finnish: Tilavuus

volumetric in Swedish: Volym (geometri)

volumetric in Tamil: கனவளவு

volumetric in Vietnamese: Thể tích

volumetric in Turkish: Hacim

volumetric in Ukrainian: Об'єм

volumetric in Chinese: 体积