8

All the atoms in the crystal lattice are identical. Let's say the volume of an atom at the vertex (not corner, if it is a corner, you will need a slightly different reasoning) is B. Each atom at the vertex takes up (1/8)B of the cube. See diagram. For a cube with length a, it consists of the central atom A with volume D and 8 atoms at the vertices each ...


2

I know I'm late to this question, but here's a perhaps simpler explanation. I just got to this problem in the anime and wanted to solve it before they revealed the answer. Ok. You have a cube with an atom in the middle. What you'll want to do is break the cube into eight pieces. Take one of these pieces. There are two atoms on opposite corners (vertexes). ...


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