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IEVref: | 102-04-40 | ID: | |

Language: | en | Status: Standard | |

Term: | volume | ||

Synonym1: | |||

Synonym2: | |||

Synonym3: | |||

Symbol: | V
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Definition: | unique positive value, if it exists, associated with a three-dimensional domain, with the following properties: - for a rectangular parallelepiped, the value is the product of the three side lengths,
- for a disjoint union of domains, the value is the sum of the values associated to these domains,
- for more complicated domains, the value can be approximated by sums and given by an integral
Note 1 to entry: The volume Note 2 to entry: In the usual geometrical space, the volume is a quantity of dimension length cubed. | ||

Publication date: | 2008-08 | ||

Source: | |||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

CO remarks: | |||

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VT remarks: | |||

Domain1: | |||

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- for a rectangular parallelepiped, the value is the product of the three side lengths,
- for a disjoint union of domains, the value is the sum of the values associated to these domains,
- for more complicated domains, the value can be approximated by sums and given by an integral

Note 1 to entry: The volume *V* of the three-dimensional domain D is determined by the volume integral $\underset{\text{D}}{\iiint}\mathrm{d}V$, where d*V* is the volume element (IEV 102-05-10).

Note 2 to entry: In the usual geometrical space, the volume is a quantity of dimension length cubed.