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
.