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Three Cuts to Turn a Round Cake Into Eight Equal Slices

How can you cut a round cake three times to make eight equal slices?

Cut #1 – Down the center of the cake (vertically) leaving two equal halves.
Cut #2 – Across the center of the cake (horizontally) leaving four equal slices.
Cut #3 – Through the middle edge of the cake slicing all four of the pieces in equal halves, leaving eight equal slices (four equal tops and four equal bottoms).


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24 Comments on "Three Cuts to Turn a Round Cake Into Eight Equal Slices"


confused says
March 13, 2017 @ 21:01

I dint understand at all like how does that work? it 4 if u really think about it…


Kent says
March 22, 2017 @ 09:42

Could you supply a cut by cut diagram. Most seem confused.


Chase says
April 5, 2017 @ 18:28

The first person has the most elegant answer, but his math is incorrect. The first cut is a circle within the cake with a radius that is the radius of the whole cake divided by the square root of 2. Then the next 2 cuts are horizontal down the entire cake and vertical through the entire cake. This produces a circle within the circle that is divided into 4 pieces, and an outer ring around that circle that has 4 pieces that are the same size as the 4 within the inner circle. Not easy, but not too tough


Billk says
May 1, 2017 @ 17:28

“Splitting the layers” with the third cut requires the “round cake” be flat on top. To an extent, so does stacking the quarters to halve them. However, they can be lined up and halved no matter what the top looks like.


Gen_DEVO says
November 5, 2017 @ 18:55

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jyoti says
August 14, 2018 @ 12:12

cut the cake into two equal semicircles using one line, place one piece over the other and then cut the whole into 4 parts, as a result, total parts will become 8.


Versha Agarwal says
October 13, 2018 @ 16:23

First cut the cake into four equal pieces. Now you are left with only one cut.Be SMART. Now cut yhe cake as you are drawing a inner circle in a cake. Now you are done with three cuts and also having 8 cuts.
4 equal to others and another 4 equal to each other.


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