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. 23 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 correct option:
A) 64 B) 72 C) 86 D) 98 E) 102

Rationale: use the options . the options which after getting added to 23 shows a cube of a number could be right . here 64 + 23 = 87 72 + 23 = 95 86 + 23 = 109 98 + 23 = 121 102 + 23 = 125 - - - ( 5 * 5 * 5 ) so we have 102 as the answer ! e
Answer: E