Cubes

The volume of a cube is $v=a^3$ where $a$ is the edge length of the cube. So the volume of the cube in the problem is

$v=a^3=(5~\text{cm})^3=\boxed{125~\text{cm}^3}$

let $x$ be the side length, then

$V=x^3=5^3=125$

$\begin{aligned} \text{Volume of a cube} & = {\left(\text{Side}\right)}^3\\ & = 5^3\\ & = \boxed{125}{cm}^3 \end{aligned}$

The volume of a cube is equal to the cube of its edge.

$volume=(edge)^3=5^3=\boxed{125~cm^3}$