Use Euler's formula to find the missing number. Vertices: 18 Edges: 22 Faces: ? (1 point) Responses 4 4 5 5 6 6 8 8
The missing number of faces can be found using Euler's formula, which states that for a polyhedron, V - E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces.
Given:
Vertices (V) = 18
Edges (E) = 22
Let's substitute these values into Euler's formula:
18 - 22 + F = 2
Simplifying the equation, we get:
-4 + F = 2
Now, solve for F:
F = 2 + 4
F = 6
Therefore, the number of faces in the polyhedron is 6.