The answer here is 7. Divide 4116 by 12 to know how many times it increase. Please take note that this is not yet the answer since we are dealing with 3 dimensional figure. It means the volume is increased by cube. Evaluating the given, we will have 4116 / 12 = 343, we will get the 3rd root of this since we are considering 3 sides - length, width and height. The cube root of 343 is 7.