A polyhedron has 12 vertices and 22 edges. Use
Euler's formula to calculate the number of faces.
again?
V+F = E+2
To use Euler's formula to calculate the number of faces of a polyhedron, you can use the equation:
V - E + F = 2
where V represents the number of vertices, E represents the number of edges, and F represents the number of faces.
In this case, you are given that the polyhedron has 12 vertices (V = 12) and 22 edges (E = 22).
Plug those values into Euler's formula:
12 - 22 + F = 2
Now, solve for F (number of faces):
12 - 22 + F = 2
F = 22 - 12 + 2
F = 10 + 2
F = 12
Therefore, the polyhedron has 12 faces.