Show that every two blocks have at most one vertex in common

Show that every two blocks have at most one vertex in common

Solution

let us consider a cube of lenght L

If we cut the cube into n number of blocks,we can find the atmost one vertex in common.

consider a 3*3 rubox cube.

In this we can see the a cube of one side is not having a common vertex with the block of the other side of the cube

where as the block of one side of the cube will have a common vertex of one with the block of the same side.

Hence we can say that the two blocks can have at most one vertex as common