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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 -

    Would the answer be 3.7?

  • 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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