) A cube is painted blue on all of its surfaces. It is then cut in to 27 smaller cubes of equal size. Find how many smaller cubes have no color?
Choose the correct choice from the following options:
A) 1  B) 3  C) 8  D) 5  E) 7

Rationale: if the cube is cut in to 27 smaller cubes , then number of separations made = n = 3 ( since 3 × 3 × 3 = 27 ) . number of smaller cubes with no color = ( n – 2 ) 3 = ( 3 – 2 ) 3 = 13 = 1 answer : a
Answer: A