Suppose a packaging company wants to create three types of boxes that are cubes and increase in size in a specific pattern:
the side lengths of the middle-sized cube’s edges are 2 inches longer than those of the smallest cube.
the side lengths of the largest cube’s edges are 2 inches longer than those of the middle-sized cube.
the sum of one side length of each of the three cubes equals y.
the volume of all three cubes combined is 24y. (recall that volume = length × width × height).
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