Question

22.From the following determine whether a polyhedron can have
10 faces, 23 edges and 15 vertices
12 faces, 20 edges and 10 vertices​

Answer 1

Answer:

No.It can't have 10 faces , 20 edges, and 15 vertices as The formula i.e. Euler's formula isn't being satisfied. so,the Euler's formula is not satisfied. Therefore,A polyhedron cannot have 10 faces , 20 edges, and 15 vertices.

Answer 2

Answer:

euler's  formula = faces+ vertices-edges = 2  

                                10 + 15-23 = 2

                                  25-23 = 2

                                         2= 2✔

                               ___________  

                                  12+10-20=2

                                    22-20=2

                                       2=2✔