A rectangular cubical piece of metal of dimensions \[2\text{ }cm\text{ }\times \text{ }3\text{ }cm\text{ }\times \text{ }4\text{ }cm\] is melted. Some more of the metal is added and it is made into a cube. The cube has integral measures for its sides. What is the minimum amount of metal that is added and what is the side of this cube?

• A.  \[10\text{ }c{{m}^{3}},\text{ }4\text{ }cm\]         
• B.  \[3\text{ }c{{m}^{3}},\text{ }3\text{ }cm\]
• C.         \[11\text{ }c{{m}^{3}},\text{ }3\text{ }cm\]
• D.         \[4\text{ }c{{m}^{3}},\text{ }3\text{ }cm\]