How do you cut a donut into 12 piece's with 3 cuts?
It's not possible. :P It's for my homework
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A log is cut into four pieces at 12 seconds at the same rate how long would it take to cut 5 pieces?
This is impossible for any convex shape, so one will need to exploit the non-convexity of a bagel. The first cut needs to be such that two u-shapes are left. This is achieved best if the cutting plane is tilted with respect to the planes of symmetry of the bagel. Now, stack the two u-shapes and cut them both into three pieces using 1 cut, cutting of the 'legs' of the u's. Now we have…
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…
Takes the Cake Here 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).
This depends on whether the pie is thick or not - if you mean 4 cuts from the top downwards, then you can get nine, if you cut it right. Imagine a clock face. cut 1 - from 1:00 to 5:00 cut 2 - from 11:00 to 7:00 cut 3 - from 10:00 to 2:00 cut 4 - from 8:00 to 4:00 Alternatively, with a thick pie you could make three top-downwards cuts to give…