SOLUTION: Euler's formula, V-E+F=2, relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedronpolyhedron. Solve Euler's formula for F.

Algebra.Com
Question 1008758: Euler's formula, V-E+F=2, relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedronpolyhedron. Solve Euler's formula for F.
Found 2 solutions by fractalier, stanbon:
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
From
V-E+F=2
we can add E to both sides and get
V + F = 2 + E
then subtract V from both sides and get
F = 2 + E - V

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
V-E+F=2, relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron Solve Euler's formula for F.
----
F = 2-(V-E)
F = 2-V+E
-------------
Cheers,
Stan H.
-----------

RELATED QUESTIONS

Use Euler's formula to answer the question. A polyhedron has 15 vertices and 31 edges. (answered by Theo)
write an equation using f for the number of faces, e for the number of edges and v for... (answered by richard1234)
A polyhedron with 6 vertices and 12 edges is shown below. What is the total number of... (answered by AnlytcPhil)
i think this is where is should be for the polyhedron, use eulers formula to find the (answered by rothauserc)
(1) f and g are functions on X={1,2,3} as f—{(1,2); (2,3); (3,1)) ; g=(1,2); (2,1);... (answered by ikleyn)
Let P be a polyhedron. The dual polyhedron of P is a polyhedron Q which satisfied the... (answered by ikleyn)
Use Euler’s Formula to find the number of vertices in the polyhedron with 11 faces, 1... (answered by ikleyn,greenestamps)
find the number of vertices, faces, and edges for the regular hexagonal... (answered by alicealc)
Joe is holding a solid material shaped in the form of a simple polyhedron that has four... (answered by addingup)