# AP Calculus

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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 -

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 -

• AP Calculus -

you are looking for area, finding s is only the first step. Look at the area formula.

• AP Calculus -

answer in the back of the book is 180in squared

but im not getting that answer

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