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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