A convex polyhedron has (9a – 1) faces, (8a) vertices, and (16a) edges. What is the value of a? Euler’s formula: V + F = E + 2 a=?

Question

asked Jul 2, 2018 13.2k views

2 Answers

Ranveer · Answer 1 · 2018-07-06T23:02:57+0000

Answer:

a = 3

Explanation:

$f=(9a-1) ; v=(8a); e=(16a)\\\\V+F=E+2\\\\8a+(9a-1)=16a+2\\8a+9a-16a=2+1\\17a-16a=3\\ a=3\\$

The value of a, for this polyhedron is 3

so

Faces= ((9*3)-1)= 27

Vertices= (8*3) = 24

Edges = (16*3) = 48