I've been trying to understand Karma-kun's answer the math problem in the Examination Finals.
I have searched references, and explanations to the problem but to no avail. I still couldn't understand the horrible explanations to the problem, and the answer assumes that you know their thought process is, which I don't.
This has an english translation of the problem:
Another link I found mentioning the problem but not explaining it.
Their is also a youtube video that explains Karma-kun's answer but even his explanation I still can't understand how he to the conclusion that the area of the center atom is equal to the half the area of the cube divided by two. a^3/2
video link: Weird Geometry (Assassination Classroom S2 E12)
The reason I'm posting this is that there is no other way for me to understand the problem without asking in a thread.
I just want an explanation of the answer in "high-school" level of perspective, not a professional PhD level one...
I don't want to hear "equidistant", "inifinitesimal", "vertex" or any other technical terms that I can't comprehend.
I know I demand too much, but please help me understand how Karma-kun got a^3/2. The only perspective that I got from Karma is that all the 8 atoms form a cube of their own, and the middle point of that imaginary cube is equivalent to all the atoms inside the 8 individual cubes.
And the video says so as well, but how the in the world has it gone from A 1/8 to 2A? and then a^3/2