Question 334757
An open rectangular box (no top) with volume 6 cubic meters has a square base.
 Express the surface area S of the box as a function of the length x of one of the sides.
:
Dimension of the box x by x by h
then the volume:
x^2 * h = 6
h = {{{6/x^2}}}
Surface area (5 sides)
S.A = x^2 + 4(x*h)
S.A = x^2 + 4xh
Replace h with {{{6/x^2}}}
S.A = x^2 + 4x*{{{6/x^2}}} 
cancel x and mult 4*6
f(x) = x^2 + {{{24/x}}}; the surface area function