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IEVref:102-04-40ID:
Language:enStatus: Standard
Term: volume
Synonym1:
Synonym2:
Synonym3:
Symbol: V
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 V of the three-dimensional domain D is determined by the volume integral D dV MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaapmfabaGaciizai aadAfaaSqaaKqzGdGaaeiraaWcbeqdcqGHRiI8cqGHRiI8cqGHRiI8 aaaa@3F16@ , where dV 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.


Publication date:2008-08
Source:
Replaces:
Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO
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