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3 years ago

How many edges does a polyhedron with 28 faces and 40 vertices have calculator?

Mathematics

2 answers:

kirill [66]3 years ago

7 0

Answer: 66

Explanation:

Faces + Vertices - Edge = 2
28 + 40 - Edge = 2
Edge = 28 + 40 - 2
Edge = 66

emmasim [6.3K]3 years ago

6 0

Hey user!

your answer is here..

we know about EULER'S FORMULA, it is a formula used to verify a polyhedron or to calculate the number of faces, vertices or edges.

Euler's formula = F + V - E = 2

given :-

faces = 28, verticies = 50 and edge = ?

we know that F + V - E = 2

therefore 28 + 40 - E = 2

==> 68 - E = 2

==> - E = 2 - 68

==> - E = - 66

==> E = 66

hence, the number of edges of the polyhedron is 66.

cheers!!

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