A polyhedron has 7 faces and 15 edges. How many vertices does this polyhedron have? Share with your friends Share 1 Sanjari Kalantri answered this Dear Student, According to Euler's Theorem, in any solid shape,Faces + Vertices - Edges = 2⇒ 7 + Vertices - 15 = 2⇒ Vertices = 10Thus, the polyhedron has 10 vertices. 1 View Full Answer