Cana polyhedron have 10 faces, 20 edges and 15 vertices - Maths - Visualising Solid Shapes

Question

Cana polyhedron have 10 faces, 20 edges and 15 vertices?

Global Expert · Accepted Answer

Number offaces = F = 10
Number ofedges = E = 20
Number ofvertices = V = 15
Anypolyhedron satisfies Euler’s Formula, according to
which, F + V− E = 2
For thegiven polygon,
F + V −E = 10 + 15 − 20 = 25 − 20 = 5 ≠
2
SinceEuler’s formula is not satisfied, such a polyhedron
is notpossible