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

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