Given a rectangular cake with a rectangular piece removed (any Size or orientation), how would you cut the remainder of the Cake into two equal halves with one straight cut of a knife? To make it Tougher, consider a cake with two rectangular pieces removed (any size or Orientation, and both pieces can be of different orientation and size).

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shikha

  • May 31st, 2005
 

Simple,
Slice the cake along half its height, parallel to the ground.

S.Rohini

  • Jan 14th, 2011
 

i) given to us is a rectangular cake.. so we are going to cut a piece from that cake in such a way that the remaining portion of the cake is a square.. so after a piece is cut out we have the cake in the shape of a square.. now we can cut it into two equal halves either horizontally or vertically(since it is a square , all sides are equal..)..


(ii) to remove two pieces from the cake, we have to cut the cake in such a manner that the remaining portion is in the shape of a square and the rest is same  as in (i)...

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suprabha

  • Sep 7th, 2011
 

cut the cake laterally.... the two pieces should be of equal height....

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Neha

  • Dec 10th, 2011
 

The cake can be cut in any orientation....

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This is also a possibility the cake will look like when we cut it with a side orientation...

so what will be the solution for this?
I guess cutting it along its diagonal.....(ie. from top left to bottom right)

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arvind

  • Jan 1st, 2012
 

Cut the cake horizontally to get equal halfs.

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chaitanya

  • Jan 4th, 2012
 

if suppose the cake is a mobile .... i will cut the cake like removing back pannel plate .....for that only you can get it equal

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Jay.K

  • Jul 3rd, 2012
 

Cut along the straight line connecting the old & the new centre of gravitys of the cake.

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Ayushman Singh

  • Jul 29th, 2015
 

Consider a rectangular cake (obviously)
lets say length=x breadth=y

Make an outline of x-2 & y-2
Now cut off two rectangles from the outlined surface...simply cut them into 2 halves

Now you are left with a big rectangular hole without changing the actual length and breadth of the cake...
Now cut the cake into 2 equal portions with one straight swipe....& there you have it!

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tabrez

  • Aug 25th, 2015
 

by slicing the cake

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Minaal

  • Sep 1st, 2015
 

Cut the cake parallel horizontally. No matter how many rectangular pieces are cut.

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