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How do you cut a cake into 16 pieces using 5 cuts and no horizontal cuts?
Wiki User
∙ 14y ago
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?
Wiki User
∙ 11y ago
Wiki User
∙ 12y agouse two cuts to cut horizontally and then vertically. (makes four pieces, proximal/distal separation and left right separation). Use the final cut to separate the top and bottom.
The first two cuts are made up to down (from the top of the cake to the bottom), while the last cut is made from left to right.
Wiki User
∙ 14y agoYou only need 4 cuts, and there are an infinite number of ways to do it
without a horizontal cut.
If you want the pieces to be equal, and a horizontal cut isn't allowed,
then you could do it like this:
#1). 30° clockwise from vertical (60° counterclockwise from horizontal)
#2). 45° clockwise from the first cut (15° counterclockwise from horizontal)
#3). 45° clockwise from the second cut (30° clockwise from horizontal)
#4). 45° clockwise from the third cut (75° clockwise from horizontal)
Wiki User
∙ 15y agoUnless you cut in a squiggly line so that the 2 cuts crossed over twice then it is impossible.
Wiki User
∙ 13y agotwo straight vertical cross slices and one straight horizontal slice
Wiki User
∙ 15y agoIf you have a round cake, you make a horizontal and vertical cut, so you have 4 pieces. Then, you make a second little circle in the middle of the cake, so it makes 8 pieces.
Wiki User
∙ 15y agoyou cut it in the shape of a star :-)
Wiki User
∙ 12y agoyou cant
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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).
Can you cut a cake into 9 equal pieces using only cuts?
use a cutter
How do you cut a square into 12 pieces?
2 horizontal cuts and 3 vertical cuts OR 3 horizontal cuts and 2 vertical cuts
How do you cut a cake into 8 equal pieces in 3 cuts?
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.
If you have a normal cake What is the maximum number of pieces you can make with only 4 straight cuts?
You would have 8 pieces of cake. A: I can make ten pieces.
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.
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.
What is the minimum number of cuts you need to make to make an 8 pieces of cake?
four
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).
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 8 pieces with 3 straight cuts without moving the pieces?
3 right to left and 1 time down the middle towards you
How can you cut a pie into 8 pieces with 3 straight cuts with out moving the slices?
cut an "X" on the top of the cake,like you normally would,then cut the cake straight the the middle of the cake if you wer looking at it so its horizantal,and you're like on your knees.....so your basically cutting 4 pieces in a 2 layer cake
