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).
Write a system of equations based on the given information.