The volume of the rectangle box is
m
.
Consider
be the length of the square base and
be the height of the rectangle.
Then the volume of the rectangle with square base is
.
Find height in terms of length of the base
.

The surface area of the open rectangle box is
.
Substitute
in the surface area.

The surface area of the box in terms of length of the base is
.
Domain :
\The function is
does not have any radical.
The denominator of the function should not be a zero.
\Surface area should be a positive, it can not be a either zero or negative.
\So all positive real numbers of
is the domain of the function
.
The domain of the function
is
.
The surface area of the box in terms of length of the base is
.
The domain of the function
is
.