Math Calc
posted by Tim on .
If 1500 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Volume =

let the base be x cm by x cm, and the height y cm
then x^2 + 4xy = 1500
y = (1500  x^2)/(4x)
V = x^2y
= x^2(1500  x^2)/(4x)
expand, find dV/dx
set that equal to zero and solve
let me know how you made out.