Surface area is the perimeter (amount of space around a shape) around a shape.
For example:
I have a rectangle
So:
3+3=6
9+9=18
18+18=36cm2
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Quicksand
The answer depends on what information you have about the cube. If, for example, you know the volume, V, then the surface area is 6*cuberoot(V)^2. If you have the lengths of an edge, s, then it is 6*s^2.
a surface that does not move
It would help if the question was less obscure. What do you mean by "work"? How the surface area affects chemical processes (for example the surface area of catalysts), or diffusion, or surface areas and friction?
For example, the amount of nutrients a cell can absorb are proportional to its surface area.