Problema Solution
United Parcel Service has contracted you to design an open box with a square base. That has a volume of 5000 cubic inches. Express the surface area S of the box as a function of x?
Answer provided by our tutors
let
x = the length of the side of the square base
h = the height of the box
the volume of the box is V = x^2*h
x^2*h = 5000
h = 5000/x^2
the surface area is S = x^2 + 4*x*h
S = x^2 + 4*x*5000/x^2
S = x^2 + 20000/x