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A rectangular box with length twice the width is being built using mahogany for the top and bottom and oak for the remaining sides. Mahogany

A rectangular box with length twice the width is being built using mahogany for the top and bottom and oak for the remaining sides. Mahogany costs twice as much as oak. If the volume of the box must be 37,843 cm^3, what dimensions, to the nearest hundredth, will minimize the total cost of the box

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