We have a
wooden cube of 3’’ on a side and we have a buzz-saw. The cube can be cut into
27 one inch cubes by the buzz-saw. Only 6 cuts of saw are necessary to do this,
while keeping the pieces together. Now, can you reduce the number of cuts by
rearranging the pieces after each cut? If you can, how is it done? If you can’t
why can’t it be done?
Answer: It cannot
be done in less than six cuts, because the cube which is formed in the middle
of the original cube has no exposed surface.
Since a cube has 6
sides, the saw must create this cube by 6 passes of the saw, no matter how the
slices are rearranged.
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