A larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?  Choose the correct choice
A) 54 B) 64 C) 81 D) 108 E) 1764

Rationale: "volume of larger cube = 343 = 7 ^ 3 side of larger cube = 7 volume of smaller cube = 1 - - > side of smaller cube = 1 surface area of larger cube = 6 * 7 ^ 2 = 294 surface area of 27 smaller cubes = 343 * 6 * 1 = 2058 difference = 2058 - 294 = 1764 answer : e"
Answer: E