Find the number of faces, edges and vertices of the following polyhedrons and verify them by using Euler's formula. [4 MARKS]

(i) Tetrahedron

(ii) Octahedron

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Solution

Formula: 1 Mark each
Application: 1 Mark each

(i) Tetrahedron

Number of faces = 5

Number of vertices = 6

Number of edges = 9

Clearly, F + V = E + 2 i.e., 5 + 6 = 9 + 2

(ii) Octahedron

Number of faces = 8

Number of vertices = 6

Number of edges = 12

Clearly, F + V = E + 2 i.e., 8 + 6 = 12 + 2

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