Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 150 cm. A passenger wants to take a box of the maximum allowable volume. If the length and width are to be equal, what should the dimensions be? 1) what is the length/width, height and volume? 2) if the length was twice the width, what would the length, width, height

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