I have a square cake. The cake is iced on top and all the sides. I need to cut the cake in 6 pieces all pieces getting the same amount of cake and icing. Please help me if possible with a diagram.

Answer 1

It is an interesting problem.

Bear in mind that any piece of cake with a vertex at the centre has an area proportional to the base (perimeter of the square).

You only have to divide the perimeter of the square into 6 equal lengths (wrapped around a corner if necessary).

See diagram for a possible solution at:
http://imageshack.us/photo/my-images/11/1314893656.jpg/