a-----b
    /:    /|
   / :   / |
  d-----c  |
  |  h..|..g
  | /   | /
  |/    |/
  e-----f

1. Can you place the numbers 1-8 at the corners of a cube, such that each face has the same sum (of its four adjacent corners)? In how many ways can this be done?
2. Can you place different numbers (preferably consecutive) at the corners of a cube such that the six faces have different sums? Consecutive sums?
3. Can you place different numbers (preferably consecutive) on the sides of a cube such that the eight corners have different sums (of their three adjacent faces)? Consecutive sums?