Question

Q-4 Find the solution using Euler's formula. (1) If the number of vertices (V) is 6 and Edges (E) is 12 in a polyhedron, then find its number of Faces(F)
ACC to Rucker's formula
=f+v-e=2
f+6-12=2
f=8​

Answer 1

Answer:

E=30

Step-by-step explanation:

(i)Faces-?,vertices-6,edges-12

Euler's formula: F+V–E=2

F+6–12=2

F=2+12–6=8

F=8

(ii) Faces-5,vertices-?,edges-9

Euler's formula: F+V–E=2

5+V–9=2

V=2+9–5=6

V= 6

(iii) Faces-20,vertices-12,edges-?

Euler's formula: F+v–E=2

20+12–E=2 ,

E=20+12–2

E=30

#SPJ3