Volume is a property associated with a finite region of space. The volume occupied by a given region of space ${\displaystyle \Omega }$ is typically denoted by the symbol ${\displaystyle V}$. It is always possible to subdivide a given region into smaller sub-regions. The symbol ${\displaystyle dV}$ is often used to denote the volume occupied by an arbitrarily small region of space. Thus the total volume occupied by ${\displaystyle \Omega }$ can be expressed as: ${\displaystyle V=\int _{\Omega }dV}$