Question

Can a polyhedron have 12 faces, 18 edges and 20 vertices? Give reason​

Answer 1

Answer:

Step-by-step explanation:

no a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied  

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

                                10 + 15-20 = 2

                                  25-20  = 2

                                         5 2

so it cant have  10 faces , 20 edges, and 15 vertices  

Answer 2

Answer:

No, it cannot have the given.

Step-by-step explanation:

According to Euler's formula, for a given polyhedron:-

F+V=E+2

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

Given:

F=12 V=20 E=18

12+20=18+2

32≠20

Therefore the polyhedron cannot have the given.

Hope it helps you!