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Well, buttercup, first you slice the cake horizontally into two equal halves. Then you stack those halves and make a vertical slice down the middle, giving you four equal quarters. Finally, you stack those quarters and make one more vertical slice down the middle, giving you eight equal pieces. Voilà, you've got yourself a perfectly sliced cake in just three cuts.
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MaxineTo cut a cake into 8 equal pieces in 3 cuts, you first make two cuts to divide the cake into quarters. Then, stack the quarters on top of each other and make a third cut perpendicular to the first two cuts. This will divide the stacked quarters into 8 equal pieces. This method ensures that each piece is of equal size and shape.
This is a trick question. Normally if you wanted to cut a cake into 8 equal pieces you would do so with more than 3 cuts. However, it is possible to do it in 3 cuts if you have a sufficiently long knife. By cutting the cake with two perpendicular cuts you can easily get 4 equal pieces. Then you rearrange these 4 pieces so that they are in a line, with all the pointy ends aligned in the same direction. Then you can cut all four pieces in half with one more cut. But it takes a long knife.
Answer:
Alternately two perpendicular cuts to make 4 equal pieces and a horizontal cut at the middle of the cake to make it into two equal layers each with 4 equal pieces.
But if the cake has frosting on top, then the top pieces can't really be exactly equal to the bottom pieces which won't have frosting on top. Nonetheless, it's a good alternative. And not all cakes are frosted.
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How many times to cut a cubical cake into a maximum of 125 identical piecesif the cake can be cut n times to get minimum of 120 pieces?
In one sense you cannot. The cakes would have a different number of faces which were part of the original faces. To that extent the pieces will not be identical. If such pieces are considered identical, and if the cake pieces can be stacked before cutting, then 9 cuts will suffice. Without stacking, 12 cuts are required. If the cake can be stacked and cut, and a little wastage (less than 2.5%) is pemitted, then 7 cuts will be enough.
How can you cut a rectangular cake into 8 equal parts with only 3 cuts?
-- Adjust the direction of the knife so that it's parallel to the length of the cake,and cut (1) the cake down the middle ... 2 equal pieces.-- Turn the knife 90 degrees so that it's parallel to the width of the cake,and cut (2) the cake down the middle ... 4 equal pieces.-- Stack the 4 equal pieces in an even stack, so that their edges all line up.Cut (3) the stack in two equal pieces, either length-wise, width-wise, oralong either diagonal ... 8 equal pieces.Alternate method for any one of the cuts described above, (1) or (2) or (3):-- Turn the knife so that the blade is parallel to the cake-board and half ofthe height of the cake above the board. Slice through the height of the cake,keeping the knife parallel to the cake's bottom surface, to its top surface andto the cake-board, cutting the whole cake into an upper layer and a lower layerof equal thickness.
How do you cut a ball into 9 pieces by only 3 cuts?
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!
If it takes five minutes to cut across a log how long will it take to cut a five- foot log into five equal pieces?
To cut a 5-foot log into 5 equal pieces, you would need to make 4 cuts to create 5 equal sections. If it takes 5 minutes to make one cut across the log, you would need a total of 4 cuts, so it would take 20 minutes to cut the 5-foot log into five equal pieces.
What is the least number of cuts required to cut a cube into 504 identical pieces?
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.
