A box with a square base and open top must have a volume of 131072 cm?. We wish to find the dimensions of the box that minimize the amount of material used. Write the equation of the volume of the box using s as the length of the side of the square bottom and h as the height of the box. Write the equation of the surface area of the open top box using s as the length of the side of the square bottom and h as the height of the box. Surface Area = Find a formula for the surface area of the box in terms of only s, the length of one side of the square base. [Hint: Solve the volume formula for either h or s and substitute it into the surface area formuala.] Surface Area =

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