IEVref: 102-04-40 ID: Language: en Status: 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 integralNote 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 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 CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: