A polyhedron with two faces, and 18 edges would have how many vertices

Answer 1

The formula for calculating the number of vertices in a polyhedron is given by Euler's formula:

V - E + F = 2,

where V is the number of vertices, E is the number of edges, and F is the number of faces.

Given that the polyhedron has 2 faces and 18 edges, we can substitute these values into Euler's formula:

V - 18 + 2 = 2.

Solving for V, we get:

V = 18 + 2 - 2 = 18 vertices.

Therefore, the polyhedron with two faces and 18 edges would have 18 vertices.