Cake cutting puzzle

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Two twin brothers share the same birthday. Their father gets them a perfectly rectangular birthday cake, and the brothers decide to split the cake into two equal halves so that they each get to eat the same amount of cake.

However, before they can divide it, their father cuts out a perfectly circular (or more precisely, cylindrical) piece from the cake and eats it.

How can the brothers divide the rest of the cake with exactly one straight-line slice? The slice must be a vertical slice straight down through the cake, and is allowed to pass through the removed circle if needed. The brothers have a ruler and a compass to help them choose where to slice the cake.

cake cutting puzzle

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  • 3 Answer(s)

    They should measure the radius of the cut hole in the left of the cake and use the compass to cut a same sized hole in the right portion of the cake. Then cut the freshly cut cylindrical portion into equal halves. Now they can divide the rest of the cake into two halves through the middle.

    Turmoil Guru Answered on 1st May 2016.
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    Cut the cake in two part horizontly .

    abhi9810 Curious Answered on 2nd May 2016.

    the question asked for vertical slices…

    on 2nd May 2016.
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    let the boy with hole in his cake have it all, but the other has give something to his brother and he will be let with this 

    Shanu katolkar Genius Answered on 2nd May 2016.
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