Homework Soursea box with a square base and open top must have a volume of
a box with a square base and open top must have a volume of 32000cm^3 . Find the dimensions of the box that minimize the amount of material used.
Solution
minimum material needed when the box ia cube
32000 = x^3
x = 31.75cm
Width of square base = 31.75cm
Height of box = 31.75cm
