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

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

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Basic Math

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

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

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