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The cube is the only regular hexahedron and is one of the five Platonic solids . It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped , an equilateral cuboid and a right rhombohedron . It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron .
So you take half of the total, meaning 14 diagonals. I checked to make sure this process worked with the other polygons. The hexagon had 6 vertices with 3 diagonals which gives you 18 divided by 2 equals 9 diagonals. I tested the others and this method worked. I also noticed a pattern between the number of sides and how many diagonals came from each vertex. The pentagon had 2, hexagon 3, heptagon 4, and if the pattern continues the octagon has 5.