Friday 13 November 2015

geometry - Cutting a cake into 8 pieces


Say, you are given a cake which you must share with 7 others. So, you must cut the cake into 8 pieces. But, you are only allowed to make 3 straight cuts. You cannot move pieces of the cake after the first cut.



Answer



Obviously, this doesn't work in the plane. So you need a 3D solution.


A 3D solution is simple. Cut the cake with 2 perpendicular cuts through the center, then make a horizontal cut at half the height of the cake. It is not fair regarding topping, but you have 8 pieces.


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