Using Euler’s formula find the unknown: Faces ? 5 20 Vertices 6 ? 12 Edges 12 9 ?

From the given table, Number of Faces = F Number of Vertices = 6 Number of Edges = 12 We know that, Euler's Formula: F + V = E + 2 Substituting the values in the formula, we get, F + 6 = 12 + 2 ⇒ F = 14 - 6 ⇒ F = 8 Hence, number of faces = 8 Number of Faces = 5 Number of Vertices = V Number of Edges = 9 We know that, Euler's Formula: F + V = E + 2 Substituting the values in the formula, we get, 5 + V = 9 + 2 ⇒ V = 11 - 5 ⇒ V = 6 Hence, number of vertices = 6 Number of Faces = 20 Number of Vertices = 12 Number of Edges = E We know that, Euler's Formula: F + V = E + 2 Substituting the values in the formula, we get, 20 + 12 = E + 2 ⇒ E = 32 - 2 ⇒ E = 30 Hence, number of edges = 30 Faces 8 5 20 Vertices 6 6 12 Edges 12 9 30