Respuesta :
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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