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A certain airline requires that rectangular packages carried on an airplane by passengers be such that the sum of the three dimensions is at most

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A certain airline requires that rectangular packages carried on an airplane by passengers be such that the sum of the three dimensions is at most 120 centimeters. Find the dimensions of the square-ended rectangular package of greatest volume that meets this requirement. The length of the squareend edge is cm. The package length is '1 cm

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