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American Airlines requires that the total outside dimensions (Length + Width + Height) of your carry on bag not exceed63 inches. Suppose you want to

American Airlines requires that the total outside dimensions (Length + Width + Height) of your carry on bag not exceed63 inches.

Suppose you want to buy a carry on bag whose length is twice its height (L = 2H).

What does the height have to be so that the volume of the bag will be maximized?

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