Question

there are 20 edges in a convex polyhedron. the ratio of the number of faces and the number of vertices is 5:6 . find the value of f and v​

Answer 1

Answer:

Faces = 10, Vertices = 12

Step-by-step explanation:

let face be 5x

vertices be 6x

By Euler's Formula

F+V-E = 2

5x + 6x - 20 = 2

11x - 20 = 2

11x = 2 + 20

11x = 22

x = 22/11

x = 2

Face = 5x = 5×2 = 10

Vertices = 6x = 6×2 = 12