Editing Volume (section)

== Properties ==
{{Further|Volume element|Volume form}}
As a [[Measure (mathematics)|measure]] of the [[three-dimensional space|Euclidean three-dimensional space]], volume cannot be physically measured as a negative value, similar to [[length]] and [[area]]. Like all continuous [[Monotonic function|monotonic]] (order-preserving) measures, volumes of bodies can be compared against each other and thus can be ordered. Volume can also be added together and be decomposed indefinitely; the latter property is integral to [[Cavalieri's principle]] and to the [[infinitesimal calculus]] of three-dimensional bodies.<ref>{{Cite web |title=Volume - Encyclopedia of Mathematics |url=https://encyclopediaofmath.org/wiki/Volume |access-date=2023-05-27 |website=encyclopediaofmath.org}}</ref> A 'unit' of infinitesimally small volume in integral calculus is the [[volume element]]; this formulation is useful when working with different [[Coordinate system|coordinate systems]], spaces and [[Manifold|manifolds]].