Question

Use Euler's formula to find the missing number
vertices: 16
edges: 43
face:???

Answer 1

The number of faces is 29

Explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

`V- E + F = 2`

In this problem we have

`V=16`

`E=43`

Substitute in the formula and solve for F

`16- 43 + F = 2`

`-27 + F = 2`

`F = 2+27`

`F = 29`