Respuesta :

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

The Answer is D

Euler's Formula states that:

[tex] V-E+F=2 [/tex]

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:

[tex] F=2-V+E [/tex]

Substituting the values we get:

[tex] F=2-15+24=11 [/tex]

Thus, option C is the correct option.