Question

In a regular polyhedron, the number of vertices is 4 and the number of edges is 6. Find the number of faces by using Euler's formula. ​

Answer 1

Euler's formula states that for any polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the equation V - E + F = 2.

In this case, the number of vertices is 4 and the number of edges is 6, so we can substitute these values into the equation to find the number of faces:

4 - 6 + F = 2

F = 2 - 4 + 6

F = 4

Therefore, the number of faces in the regular polyhedron is 4.