Question

Can a polyhedron have

a. 12 faces, 20 vertices and 30 edges

b. 8 faces, 14 vertices and 18 edges​

Answer 1

Answer:

b. 8 faces, 14 vertices and 18 edges

Answer 2

Answer:

using Eular's theorem

V+F-E=2 (Where V stands for vertices, F stands for faces and E stands for Edge).

putting values of V, F and E.

(a) so, 20+12-30=2( it can be a polyhedron)

(b) 14+8-18= 4 which is not equal to 2 so, it cannot be a polyhedron.