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

Solution:

Euler's formula states that for a polyhedron,

Number of Faces + Number of Vertices - Number of Edges = 2

Here, Faces = 5, Vertices = 5

5 + 5 - Number of Edges = 2

Number of Edges = 10 - 2 = 8

This forms a rectangular pyramid.

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

Summary:

A polyhedron having 5 faces and 5 vertices has 8 edges.