Question

In a polyhedron, the number of faces is 4 and the number of edges is 6, then the number of vertices of that polyhedron is:

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The Correct Option is D

To find the number of vertices in a polyhedron with 4 faces and 6 edges, we use Euler's formula:

Euler's Formula: F + V - E = 2

Where:

• F = Number of faces
• V = Number of vertices
• E = Number of edges

Given:

• F = 4
• E = 6

Substituting the known values into Euler's formula:

4 + V - 6 = 2

Simplifying this equation:

V - 2 = 2

V = 4

Thus, the number of vertices is 4.