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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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∙ 13y ago
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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.
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.
How can you cut a pizza into 29 pieces with 7 straight cuts?
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.
What is the least number of cuts required to cut a cube into 504 identical pieces?
21 cuts required to cut a cube into 504 identical 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?
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.
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 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.
How do you cut a cake into 16 pieces using 5 cuts and no horizontal cuts?
I can think of 3 ways to do it but none of them seem especially practicable. (1) Cut the whole cake in half laterally through the middle as if you were going to fill it with cream. Then cut it right across through the centre 4 times = 16 pieces. (2) Cut the cake across the middle; make your second cut at right angles to the first through the centre; Bisect those cuts with 2 further cuts each going through the centre. That makes 4 cuts and you now have 8 pieces. Now make a circular cut about 2/3 of the distance between the centre and the perimeter of the cake. To ensure the pieces are equal you'd need to judge carefully the position of this circular cut. (3) Cut the cake in half; stack one half on top of the other; cut this semicircle in half and stack again, you now have a quadrant equal to a quarter of the cake stacked 4 high and you've made 2 cuts. Cut 3 - cut the quadrant in half; Cut 4 bisect the left hand half of the quadrant; Cut 5 bisect the right hand half of the quadrant - voila - 16 pieces - but I wouldn't try it with a gooey cream cake. Is there a particular reason that you can't divide it by making 8 cuts in the usual manner?
