verify euler's formula for cuboid prism of pentagon base,pyramid of square and pentagon base
For any polyhedron, F + V – E = 2. Thus is Euler's formula. Here, F, V and E represents the number of faces, vertices and edges respectively in the polyhedron.
Number of faces, F = 6
Number of edges, E = 12
Number of vertices, V = 8
F + V – E = 6 + 8 – 12 = 14 – 12 = 2
Number of faces, F = 7
Number of edges, E = 15
Number of vertices, V = 10
F + V – E = 7 + 10 – 15 = 17 – 15 = 2
Number of faces, F = 5
Number of edges, E = 8
Number of vertices, V = 5
F + V – E = 5 + 5 – 8 = 10 – 8 = 2
Number of faces, F = 6
Number of edges, E = 10
Number of vertices, V = 6
F + V – E = 6 + 6 – 10 = 12 – 10 = 2