Answered

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Using Euler's formula, how many
edges does a polyhedron with 8
faces and 12 vertices have?
[?] edges
Euler's Formula: F + V = E + 2

Sagot :

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

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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.

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