Imagine a cube to measure 5 units on an edge, and to have its total surface area blue. Without the aid of a figure or a cubical object answer the following questions.
(A) how many times must you cut completely through the cube to make cubes with measure 1 unit on an edge?
(B) How many of the cubes of question (A) will have:
(a) Three blue faces?
(b) Two blue faces?
(c) One blue face?
(d) No blue faces?