Suppose you want to carry on a bag whose length is twice, Mathematics

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Suppose you want to carry on a bag whose length is twice

A certain airline requires that the total outside dimensions (length + width + height) of a carry-on bag not exceed 42 inches. Suppose you want to carry on a bag whose length is twice its height. What is the largest volume bag of this shape that you can carry on a flight?

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Mathematics: Suppose you want to carry on a bag whose length is twice

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Mathematics: Suppose you want to carry on a bag whose length is twice

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