Question

Use eulers formula to find the number of vertics in the given polyhedron.

Answer 1

Using the Euler's formula, we have:

F + V - E = 2 (F=faces, V=vertices, E=edges)

5 + V - 8 = 2 (Replacing the values)(Since it is a quadrilateral pyramid it has 8 edges)

-3 + V = 2 (Subtracting)

V = 3 + 2 (Adding 3 to both sides of the equation)

V= 5 (Adding)

The answer is 5.