|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 , 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.