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Mathematics 67 Online
OpenStudy (anonymous):

If a figure has eight vertices and 12 edges, how many faces does it have

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

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?

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

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/

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.

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