A solid has 16 faces and 14 vertices. How many edges does the solid have?

Solution:

Given that a solid has 16 faces and 14 vertices

We know that F + V = E + 2, where F is face, V is vertex and E is edge of the polygon

We have F = 16 and V = 14

⇒16 +14 = E + 2

⇒30 = E + 2

⇒30-2 =E

⇒E = 28

The solid has 28 edges.

A solid has 16 faces and 14 vertices. How many edges does the solid have?

Summary:

A solid has 16 faces and 14 vertices, the solid has 28 edges.