Question 652470
an open-top box with a square base is to have a volume of 900 cubic feet.
express the surface area of the box as a function of the length of one of the sides of the base?
:
let x = length of one side of the base
let h = the height of the box
:
Find h in terms of x
x^2 * h = 900 cu ft
h = {{{900/x^2}}}
:
Surface area:
SA = x^2 + 4(xh)
replace h with {{{900/x^2}}}
SA = x^2 + 4(x*{{{900/x^2}}})
Cancel x
SA = x^2 + 4({{{900/x}}})
SA = x^2 + {{{3600/x}}}