Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 22 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?  Choose the most appropriate option.
A) 64
B) 72
C) 86
D) 98
E) 103

Rationale: "use the options . the options which after getting added to 27 shows a cube of a number could be right . here 64 + 22 = 86 72 + 22 = 94 86 + 22 = 108 98 + 22 = 120 103 + 22 = 125 - - - ( 5 * 5 * 5 ) so we have 103 as the answer ! e"
Answer: E