63 small identical cubes are used to form a large cube. How many more cubes are needed to add one top layer of small cube all over the surface of the large cube ?
Choose the correct choice from the following:
A) 64
B) 128
C) 152
D) 216
E) 153

Rationale: "63 small cube will make a large cube with 4 cubes in each line i . e . adding one layer will require one cube at each end and hence new cube will have 6 cubes in each line . total number of small cubes in new cube = 6 ^ 3 = 216 extra cube required = 216 - 63 = 153 hence , e is the answer ."
Answer: E