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