20
Perhaps the author of the previous answer could explain his working.
It seems to me that there are two diagonals on each face (total 12), plus 4 internal diagonals, giving an answer of 16.
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A cube has four space diagonals. One from each of the four vertices on the top face of the cube to the opposite vertex on the other face
It has 2 diagonals
It has 9 diagonals
9 diagonals
It has 495 diagonals.