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How many edges does a polyhedron with 4
faces and 4 vertices have?

1 Answer

9 votes

Answer: 6 edges

Explanation:

What is a polyhedron? A polyhedron is a 3D shape with polygonal faces, straight edges, and sharp vertices. In other words, it is a "three-dimensional polygon."

We can use Euler's Forumla to solve since they give us the number of faces and vertices.

First, we will set the equation equal to E (edges).

F + V - E = 2

F + V - 2 = E

E = F + V - 2

Then, we will solve.

E = F + V - 2

E = 4 + 4 - 2

E = 8 - 2

E = 6

The polyhedron will have 6 edges.

User Tenshi Munasinghe
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