The volume of a cube is\[512\text{ }c{{m}^{3}}\]. After a smaller cube is out off from it, its volume is \[448\,c{{m}^{3}}\]. What is the length of each side of the smaller cube?

• A.  \[6\,cm\]                           
• B.  \[7\,cm\]           
• C.         \[9\,cm\]           
• D.         \[4\,cm\]