Well, isn't that a fun little puzzle! To cut a ball into 9 pieces with just 3 cuts, you can start by making two perpendicular cuts to divide the ball into quarters. Then, you can make a third cut horizontally through the middle of the ball. This will give you 9 equal pieces, each with a slice of the ball. It's all about seeing things from different angles and finding creative solutions!
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To cut a ball into 9 pieces with only 3 cuts, you can achieve this by first making two perpendicular cuts to divide the ball into four equal quarters. Then, stack these quarters on top of each other and make a single cut through the center, perpendicular to the first two cuts. This will result in 9 equal pieces: 4 quarters from the initial cuts, and 5 additional pieces from the third cut through the center.
Cut a pizza into 2 using one straight cut. Stack the pieces and make a straight cut: you now have 22 = 4 pieces from 2 cuts. Stack these and make a straight cut: you now have 23 = 8 pieces from 3 cuts. Continue. After 7 cuts you can have 27 = 128 pieces. You can reduce the number of pieces to 29 if, after the fourth cut, you stack and cut only 11 pieces and thereafter cut just one each time. There are other options which give the same result.
To cut a cube into 504 identical pieces, you would need to make 503 cuts. Each cut divides the cube into two pieces, so the first cut creates 2 pieces, the second cut creates 4 pieces, the third cut creates 8 pieces, and so on. Therefore, to reach 504 pieces, you would need to make 503 cuts.
If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
Four diameter cuts, if none of them are the same, will always cut a pie into 8 pieces.
A pizza can be cut into eleven pieces with 4 straight cuts if an X is cut, then the rest of the pizza is cut starting from the right and working to the left in four straight lines.