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18. A box is to be made out of a 10 cm by 16 cm piece...

18. A box is to be made out of a 10 cm by 16 cm piece of cardboard. Squares of side length ? cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the maximum volume of the box.

19. A rectangle is inscribed with its base on the x-axis and its upper corners on the 2 parabola ? = 8 − ? . What are the dimensions of such a rectangle with the greatest possible area?

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