(1) Can any cube can be divided to 3 the same volume pyramids like in the picture?
(2) I think that cuboid can't that isn't a cube can't be divide into 3 volume pyramids. Why? Or Why am I wrong?
A general cuboid will have three faces made of three rectangles. You should be able to visualize that if these "face-rectangles" are NOT congruent - then the resulting pyramids will be non-congruent.Why the pyramid in this way not be cogeruent? There is a geometric reason to that? or I accept it as an axiom?