Question 255228
An open rectangular box with volume 1 m3 has a square base.
Express the surface area of the box as a function of the length (x) of a side of the base.
:
Let h = the height of the box
then
vol = x^2*h = 1 cu/m
then
h = {{{1/x^2}}}
:
Surface area of an open box
S.A. = x^2 + 4(x*h)
:
Replace h with {{{1/x^2}}}
S.A. = x^2 + 4(x*{{{1/x^2}}})
:
S.A. = x^2 + 4({{{1/x}}})
:
SA(x) = x^2 + {{{4/x}}}