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Ber [7]
3 years ago
11

Using Euler's formula, how many

Mathematics
2 answers:
WITCHER [35]3 years ago
3 0

Answer:

E = 18

Step-by-step explanation:

Euler's formula for polyhedra states

F + V = E + 2 ( F is faces, V is vertices, E is edges )

Here F = 8, V = 12 , then

8 + 12 = E + 2 , that is

20 = E + 2 ( subtract 2 from both sides )

18 = E

Then number of edges is 18

skad [1K]3 years ago
3 0

\huge\boxed{\boxed{Hello\:there!}}

Euler's Formula states that

F+V=E+2

We are given a polyhedron with 8 faces and 12 vertices.

Let's plug these numbers into the formula and then solve for E:

8+12=E+2

20=E+2

20-2=E

18=E

Therefore, the given polyhedron has 18 edges.

\Large\boxed{\boxed{\mathrm{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}}

\huge\bold{Good\:luck!}

\huge\mathfrak{LoveLastsAllEternity}

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