A cuboid has a length of $2\textasciitilde cm$, breadth of $4\textasciitilde cm$ and a height of $8\textasciitilde cm$. A cube has the same volume. Determine the side length of the cube. 
选项为:A:$3\textasciitilde cm$  B:$4\textasciitilde cm$  C:$5\textasciitilde cm$  D:$6\textasciitilde cm$  请回答其中一个选项.