A Polyhedron Has 5 Faces and 5 Vertices


Question: A polyhedron has 5 faces and 5 vertices. How many edges does it have?

We can solve the above question by using Euler's Formula

Answer: A polyhedron with 5 faces and 5 vertices will have 8 edges

Every polyhedron follows Euler's Formula

Explanation:

Euler's formla states that the number of faces plus the number of vertices minus the number of edges for a polyhedron will  always be equal to 2.

F + V - E = 2

Here: F = 5, V = 5

5 + 5 - E = 2

E = 10 - 2 = 8

Hence a polyhedron with 5 faces and 5 vertices will have 8 edges.