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Step-by-step 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.:This page lists proofs of the Euler formula: for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges. Symbolically V−E+F=2. For instance, a tetrahedron has four vertices, four faces, and six edges; 4-6+4=2.
A right triangular prism is a prism with two parallel and congruent triangular faces and three rectangular faces perpendicular to the triangular ones. ... The sides of the lateral faces are also called lateral edges. You can check the Euler's formula for this solid: 6 - 9 + 5 = 2.