SOLUTION: Please help me solve this question:An open top box is to be made by cutting small congruent squares from the corners of a 12-in.-by-12-in. Sheet of tin and bending up the sides. Ho

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Question 1141381: Please help me solve this question:An open top box is to be made by cutting small congruent squares from the corners of a 12-in.-by-12-in. Sheet of tin and bending up the sides. How large should the squares cut from the corners be to make the box hold as much as possible?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Volume v
side length of square to cut, x

v=x%2812-2x%29%5E2
v=x%28144-48x%2B4x%5E2%29
v=144x-48x%5E2%2B4x%5E3
-
dv%2Fdx=144-96x%2B12x%5E2=0
You are looking for the solution for local maximum.