Question

Use Euler's formula to find the missing number.

Vertices: 15
Edges: 24
Faces:?
A. 9
B.10
C.11
D.12

Answer 1

Vertices: 15
Edges:24
Faces:?
Their are 12 faces

The Answer is D

Answer 2

Euler's Formula states that:

`V-E+F=2`

where V is the number of Vertices, E is the number of Edges and F is the number of Faces. We have also been given that the number of vertices is 15 and the number of Edges is 24 . We have been asked to find the number of Faces, F.

The Euler's formula can be rearranged to to isolate F as:

`F=2-V+E`

Substituting the values we get:

`F=2-15+24=11`

Thus, option C is the correct option.