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All your cuts will be diameters, which means all the cuts will be straight lines that pass through the center of the cake. Your first cut can be anywhere, as long as it's straight and passes through the center. But to make things easy, make your first cut vertical. You now have two equal pieces. Then rotate the cake 90 degrees and make a second diameter cut. It will be perpendicular to the first cut. You now have four equal pieces. Now, rotate the cake 45 degrees and make a third cut through the center. After doing so, rotate the cake 90 degrees from the last cut and make a fourth cut. You should now have eight equal pieces. By now you should be getting the idea. You have to make four more cuts. Each cut should be through the center and should exactly halve the eight slices. This will produce 16 equal slices. By the way, having the interval is a good way of cutting up a square or rectangular cake, too. Every cut should halve the remaining pieces. You start by cutting the cake in half. Then you cut the halves in half. Then you cut the quarters (halves of halves) in half, and so on.

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16y ago
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15y ago

Cut a round cake in eight equal sized wedge shaped pieces with four vertical cuts, then make one horizontal cut through the center of the cake to equal sixteen pieces.

It's slightly more tricky if you are only allowed to cut the horizontal cross-section of the cake (treat the cake as a circle). In this case, first divide the cake with one cut (2 pieces), then cut it again so that it intersects the first cut (4 pieces), then cut it a third time so that it intersects both cuts previously made (7 pieces), then let the fourth cut intersect all three cuts so far (11 pieces), and let the fifth and final cut intersect all four cuts (16 pieces total).

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Q: Cutting a cake into 16 pieces with 5 cuts?
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Related questions

How do you cut a cake into 16 pieces using 5 cuts?

Cut a round cake in eight equal sized wedge shaped pieces with four vertical cuts, then make one horizontal cut through the center of the cake to equal sixteen pieces.It's slightly more tricky if you are only allowed to cut the horizontal cross-section of the cake (treat the cake as a circle). In this case, first divide the cake with one cut (2 pieces), then cut it again so that it intersects the first cut (4 pieces), then cut it a third time so that it intersects both cuts previously made, at different points (7 pieces), then let the fourth cut intersect all three cuts so far at different points (11 pieces), and let the fifth and final cut intersect all four cuts at different points (16 pieces total).


What is the largest number of pieces you could cut a pie into with 6 straight cuts?

As no constraints on the shape or regularity of the resulting pieces are made, making a three by tree line grid on the pie surface would result in 16 separate pieces. Cutting the pie into regular wedges with 6 straight cuts passing through the center would result in 12 pieces.


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If the cake is circular cut from one side across the top through the middle to the other side. Either cut across halfway between the top and bottom of the cake, then cut at right-angles to the line to make a cross. Then cut across the cake halfway between the arms of the cake, then half way between the other tow arms of the original cross. The cuts will look like spokes in a wheel. Or, if you don't make the first cut, do all the other cuts and then cut between the lines again to divide the existing pieces in half.A Square cake is easier. Halfway across one side of the cake cut across the middle of the cake from top to bottom. Cut across the cake halfway between the first cut and the outside edge of the cake, parallel to the first cut. Do the same to the other half. Turn the cake a quarter turn. Make the same 3 cuts at right-angles to the original cuts. The cake should have a checkerboard pattern with 16 squares.


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How do you cut a cake into 16 pieces using 5 cuts and no horizontal cuts?

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One Sixteenth. If a cake is cut into 8 equal pieces each piece is one-eighth of the cake.If you now cut each of those 8 pieces of cake into two you would now have 16 pieces, each one being one-sixteenth of the whole cake.


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