The volume of the cube is
.
Where
is the side length of the cube.
Find the length
in terms of volume
.

Apply cube root on each side.
\
.
The surface area of the cube is 
.
Substitute
in the surface area.


The surface area in terms of volume of the cube is
.
Domain:
\The area of the function is
.
All possible values of
is the domain of the function.
The domain of the cube root function is the set of all real numbers.
\The surface area of the cube should be greater than zero.
\

The domain of the function
is
.
The surface area in terms of volume of the cube is
.
The domain of the function
is
.