Beach Day by Rodger Bliss
May 2024
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Cake For Eight

Cake For Eight
It is your birthday and you have 8 guests.

How can you cut the cake into exactly 8 equal pieces making only 3 cuts?

Thank you Frank for your great Cake For Eight riddle!

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6 guesses to Cake For Eight


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  • ch1cag0rob

    Well first you’d need *nine* pieces if you had eight guests. But if you only want 8 pieces, cut the cake into quarters with 2 cuts, and then cut the height of the cake in half with the third cut!

  • Crabman

    Although ch1’s method could work, half the guests would have no icing. I see 2 other options.

    Both start by cutting the cake in quarters. First cut the cake into 2 halves, the next cut goes throw both halves, now you have 4 quarters

    1) best option, align the 4 quarters in a row and use your last cut to go through all 4, now you have 8 peices
    2) messier

  • Crabman

    Although ch1’s method could work, half the guests would have no icing. I see 2 other options.

    Both start by cutting the cake in quarters. First cut the cake into 2 halves, the next cut goes throw both halves, now you have 4 quarters

    1) best option, align the 4 quarters in a row and use your last cut to go through all 4, now you have 8 peices. This is the same kind of cut as wher you cut the 2 halves into 4 pieces.

    2) More messy option. Stack the 4 peices on top of each other and use the last cut to go through all 4

    We then have a cage death match to see which of the 9 of us (me and 8 guests) don’t get some yummy cake.

  • Margot

    Late on this one…

    two straight cuts across, intersecting to form right angles. 1 cut a circle appropriately spaced so the area of the resulting pieces is the same. (not sure where one would make that cut.

  • Margot

    Late on this one…

    two straight cuts across, intersecting to form right angles. 1 cut a circle appropriately spaced so the area of the resulting pieces is the same. (not sure where one would make that cut.

    (somehow it’s not taking this answer…says I’ve already said it). Trying again)

  • ch1cag0rob, you are today’s winner!
    Make one cut to divide the cake in 2. Make a second cut at right angle to the first cut to divide the cake into 4. Now make a 3rd cut horizontally through the middle (height) of the entire cake, splitting the height of the cake into 2. You now have 8 equal pieces.