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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!
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.
What are the minimum number of pieces a cube can be cut into by 13 cuts?
If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
Can you cut a cake into 9 equal pieces using only cuts?
use a cutter
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).
Cutting a cake into 16 pieces with 5 cuts?
You can cut a cake into 16 pieces with 5 cuts by first making a cross-shaped cut dividing the cake into four equal pieces, then cut each of the four pieces in half horizontally and vertically with the last cut.
Explain how to cut a cake into 8 pieces with only 3 cuts?
Cut the cake down the center once. Then cut it down the center again at a perpendicular angle from the first cut. Now you have 4 equal size and shape pieces. Take the pieces and line them all up in a row with each center angle point touching the center of the arc of the next slice of cake. Then cut down the center of each piece in one long continuous cut. There you have it. 8 equal size and shape pieces.
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!
Can you cut a cake into 9 equal pieces using only 3 cuts?
Lets use a square cake to make the instructions easier. Cut one: Make cut parallel to top of cake giving two cake layers Cut two: Diagonally corner to corner Cut three: Diagonally other corner to corner
How can you cut a cake into 7 equal pieces making only 3 straight cuts?
1) One vertical cut in half.2) A second vertical cut at 90 degrees to the previous one. You should now have 4 equal pieces.3) Make a cut parallel to the table, halfway through the cake. Like you are slicing a bagel in half or a subway sandwich. Should now have 8 equal pieces.4) Eat one piece!
How do you cut a cake into 16 pieces using 5 cuts and no horizontal cuts?
To cut a cake into 16 pieces using 5 cuts and no horizontal cuts, you would first make two vertical cuts to divide the cake into quarters. Then, stack those quarters on top of each other and make a single vertical cut through the center. Finally, separate the stacked halves and make two more vertical cuts to divide each half into four equal pieces, resulting in a total of 16 pieces.
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 round cake into 8 equal slices using only 3 cuts?
Takes the CakeHere are the steps involved:Cut from 12 o'clock to 6 o'clock (this give you 2 pieces).Cut from 9 o'clock to 3 o'clock (this give you 4 pieces).Cut the cake in half horizontally, slicing through all the pieces. Imagine that you were cutting through the whole cake to put icing in the middle (this give you 8 pieces).
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.
What cuts a line into 2 equal pieces?
If anything is cut into two equal pieces, it has been bisected.The present tense is bisect.
