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It would have bee more easier to explain if you would have been in front of mei didn't get it..
just pray such questions dont come in exam..
Let me try
the pyramid that u gonna take out will have 3 sides(3 triangular sides) .OK!
now if you take out a piece from top one new face will come into existence
if you take out one pyramid from one side then 2 faces (of the pyramid u took out) will come from existing two pyramids and another face will be produced from inside of the pyramid, this would happen for other two as well and so 4 new sides will be produced....
I know this is confusing and I wont be surprise if u still dont get it ..