Let's start by drawing the described polyhedron. We are told that it has five faces — one of the faces is a square and the remaining four are triangles.
The square contributes four edges. Moreover, there is another extra edge for each of the four vertices of the square. These are the edges that come together to create the triangles. The number of edges of the polyhedron is the sum of these.
4+4=8 edges
To find the number of vertices of the polyhedron, we will use Euler's Formula. Let x be the number of vertices. We can substitute F= 5, E= 8, and V= x into the formula and solve for x.
