Question

Verify Euler formula on the cuboid

Answer 1

General cuboids. By Euler's formulathe numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formulaF + V = E + 2. In the case of a cuboidthis gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.


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Answer 2

This can be written: F + V − E = 2

If you try it on the cube:A cube has 6 Faces, 8 Vertices, and 12 Edges,so:6 + 8 − 12 = 2