Using Euler’s formula find the missing numbers.PolyhedronFaceVertexE

1.	Using Euler’s formula find the missing numbers.PolyhedronFaceVertexEdgesA?612B5?9
Answer» For A Polyhedron Number of faces = ?; Number of vertices = 6, Number of Edges = 12 By using Euler’s formula F + V = E + 2 or F = E + 2 – V = 12 + 2 – 6 F = 14 – 6 = 8 ∴ Number of faces F = 8 For B Polyhedron Number of faces = 5; Number of vertices = ?, Number of Edges = 9 , By using Euler’s formula F + V = E + 2 or V = E + 2 – F = 9 + 2 – 5 = 6 ∴ Number of vertices = 6

Using Euler’s formula find the missing numbers.PolyhedronFaceVertexEdgesA?612B5?9

Answer»

For A Polyhedron
Number of faces = ?;
Number of vertices = 6,
Number of Edges = 12

By using Euler’s formula
F + V = E + 2
or F = E + 2 – V = 12 + 2 – 6
F = 14 – 6 = 8
∴ Number of faces F = 8

For B Polyhedron
Number of faces = 5;
Number of vertices = ?,
Number of Edges = 9 ,

By using Euler’s formula
F + V = E + 2
or V = E + 2 – F = 9 + 2 – 5 = 6
∴ Number of vertices = 6