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Cut your cake horizontally.
You now you will have two parts, an upper part and a lower part.
Without separating the parts, slice down from the top.
You will now have four parts, upper left, upper right, lower left, lower right.
Put three of the parts on top of each other and slice down through the three parts, leaving the fourth part untouched.
By this third slice you will have created three more parts.
In total you will now have seven parts, but they probably won't all be the same size, unless you are very clever!
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How do you divide a circle into eight parts using three straight lines?
You can cut a round cake into eight parts with three cuts, but you can't cut a circle into eight parts with three straight lines.
How do you cut a square cake into twelve equal parts with four cuts?
Cut the cake lengthwise and then crosswise. Stack the four pieces and then cut crosswise at one third the length and again at two-thirds the length. Done!
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).
Is there a shape that can be cut into 4 equal parts with 1 cut?
No, there is not. When you cut a shape with only one cut, you are creating two parts. In order to make four parts (no matter what the shape is), you would need to make two cuts.
A cake is divided into four pieces. How do you make it into eight equal parts with just one cut?
Cut horizontally, with the plane of the knife parallel to the table, halfway between the table and the top of the cake.
