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