2007-05-06 04:29:37 · 4 answers · asked by baby_girl_clover 1 in Science & Mathematics ➔ Mathematics
From Euler's Formula, we know that V + F - E = 2.
So 13 + F - 17 = 2 <=>
13 - 17 + F = 2 <=>
-4 + F = 2 <=>
-6 + F = 0 <=>
-6 = -F <=>
6 = F
Six faces
2007-05-06 04:34:14 · answer #1 · answered by Anonymous · 2⤊ 1⤋
Euler's formula for a simple polyhedron is F - E + V = 2, where F is the number of faces, E is the number of edges, and V is the number of vertices.
F - E + V = 2
F - 17 +13 = 2
F - 4 = 2
F = 6
2007-05-06 04:39:01 · answer #2 · answered by mathjoe 3 · 2⤊ 0⤋
using Euler's polyhedron formula F+V= E+2, ....E-edges,F-faces.V-vertices
F=6
2007-05-06 04:39:00 · answer #3 · answered by Anonymous · 0⤊ 0⤋
6 if it is to be simply connected
2 = V - E + F
2007-05-06 04:44:28 · answer #4 · answered by Orinoco 7 · 0⤊ 0⤋