45. George is making wooden building blocks for his grandchildren. As a first step, he wants to cut up apiece of lumber that is inches by inches by 6 feet (shown below) so that he will have cubes inches on a side. He must allow an extra inch for each cut because his saw blade is inch wide.Assuming that the lumber has no knots or other flaws, what is the maximum number of blocks he can make from his 6-foot piece of lumber?