breeze12aqua
breeze12aqua breeze12aqua
  • 16-05-2017
  • Mathematics
contestada

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=?

Respuesta :

kclae3
kclae3 kclae3
  • 16-05-2017
8a + 9a - 1 = 16a + 2
17a - 1 = 16a + 2
add 1 to 2 and add -16a to 17a
a = 3
Answer Link
jhoneduard41
jhoneduard41 jhoneduard41
  • 21-07-2019

Answer:

a = 3

Step-by-step explanation:

[tex]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\\[/tex]

The value of a, for this polyhedron is 3

so

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

Vertices= (8*3) = 24

Edges = (16*3) = 48

Answer Link

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