The surface area of a cube can be calculated by using the formula shown below:

Where "a" is the length of any edge of the cube.
In this case, you know that:
![a=8\operatorname{cm}]()
Then, you can substitute this value into the formula:
![SA=(6)(8\operatorname{cm})^2]()
Finally, evaluating, you get the following result:
![\begin{gathered} SA=(6)(64\operatorname{cm}^2) \\ SA=384\operatorname{cm}^2 \end{gathered}]()
Therefore, the answer is:
![SA=384\operatorname{cm}^2]()