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To calculate the volume of a cube, you use the formula V = s^3, where s is the side length of the cube.
Given that the side length of each cube is 18 inches, we can calculate the volume of each cube:
V = 18^3
V = 5832 cubic inches
Since there are 75 boxes to transport, the total space needed will be:
75 boxes * 5832 cubic inches = 437,400 cubic inches
Therefore, the delivery truck service will need 437,400 cubic inches of space to transport the 75 boxes.