Question

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In a birthday party there is a cake of negligible thickness, which is to be cut into different pieces. How many maximum pieces are possible if 4 cuts are made?
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Answer 1

Answer:

16 pieces of cake

Step-by-step explanation:

The first cut will go on the side of the cake and split it into two layers that sit on top of each other. You'll now have two pieces of cake.

Next you cut the cake into the classic quarters with two perpendicular cuts. But since you already had two layers, you'll end up with 8 pieces instead.

Now you stack these (double) quarters on top of each other and half them all with your fourth cut. The result is 16 pieces of cake and you may or may not have one.