Posted by **Anonymous** on Sunday, October 31, 2010 at 5:22pm.

A cardboard box of 108in cubed volume with a square base and no top constructed. Find the minimum area of the cardboard needed. (Optimization)

- AP Calculus -
**bobpursley**, Sunday, October 31, 2010 at 5:25pm
area= s^2+hs

Volume=s^2*h or 108/s^2=h

area= s^2+108/s

dA/ds= 2s-108/s^2=0

2s^3=108

solve.

- AP Calculus -
**Anonymous**, Sunday, October 31, 2010 at 5:28pm
Would the answer be 3.7?

- AP Calculus -
**bobpursley**, Sunday, October 31, 2010 at 5:38pm
you are looking for area, finding s is only the first step. Look at the area formula.

- AP Calculus -
**Anonymous**, Sunday, October 31, 2010 at 6:06pm
answer in the back of the book is 180in squared

but im not getting that answer

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