Posted by Tim on Sunday, April 5, 2009 at 2:29pm.
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 =

Math Calc  Reiny, Sunday, April 5, 2009 at 4:02pm
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.
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