If a figure has eight vertices and 12 edges, how many faces does it have
\[\text{Euler's Formula} = F + V = E + 2\]
V = 8 E = 12 Plug them in and solve for F.
Do you have a good website that shows how we can derive it? @Calcmathlete
Um no? I just learned it...sorry :/
i dont get it
\[F+V=E+2\] \[V=8\] \[E=12\] \[F=?\] Just plug in what V and E are and solve for F
do u get it now?
F + 8 = 12 + 2 Can you solve it now?
Do you know how to add?
Like 1+3=? Can you do that or no?
cube?
@romero yeah
Then plug in the numbers you are given and add and subtract accordingly
to find what F is
F is your answer
@Calcmathlete where does Euler's formula \(F+V=E+2\) come from/ |dw:1341383361008:dw|
@UnkleRhaukus Were you answering Romero's question? I'm confused :/
ah i diden't realize someone had already asked where it cam from, and you have already answered them
It's Euler's polyhedron formula...
what happens if we try to apply this formula to a sphere/
\[F+V=E+2\] F=1 V=0 E=-1?
perhaps F≠1 V≠0
Well, This is Euler's Polyhedron Formula. A sphere is not a polyhedron.
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