Question

Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 4 vertices and 6 edges have?

Answer 1

4 faces

Explanation:

We can use the formula V - E + F = 2 by plugging in the given values

V - E + F = 2

4 - 6 + F = 2

-2 + F = 2

F = 4

There are 4 faces.

We can check:

4 - 6 + 4 = 2

8 - 6 = 2

2 = 2

-Chetan K