Question

can a polyhedron have 12 faces, 20 edges and 14 vertices ? Justify your answer.​

Answer 1

Answer:

EULER'S FORMULA:

F+V-E=2

by EULER'S formula...

Left hand side

12+14-20

26-20

6

Right hand side

2

Therefore, L. H. S is not equal to R. H. S

HENCE, A POLYHEDRON CANNOT HAVE 12 FACES, 20 EDGES AND 14 VERTICES.

HOPE THIS HELPS YOU ✌️