Question

By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices​

Answer 1

34 edges

Explanation:

Euler's formula for polyhedron states

F + V - E = 2

where F is number of faces, V, number of vertices, E number of edges

Here F = 16, V = 20, thus

16 + 20 - E = 2, that is

36 - E = 2 ( subtract 36 from both sides )

- E = - 34 ( multiply both sides by - 1 )

E = 34