Use Euler’s formula to answer question.
1 answer:
Answer: The correct option is (C) 38.
Step-by-step explanation: Given that a polyhedron has 20 vertices and 20 faces.
We are to find the number of edges of the polyhedron using Euler's formula.
<em><u>Euler's formula :</u></em>
For any polyhedron, the number of vertices and faces together is exactly two more than the number of edges.
Mathematically, V − E + F = 2, where V, E and F represents the number of vertices, number of edges and number of faces of the polyhedron.
For the given polyhedron, we have
number of vertices, V = 20,
number of faces, F = 20
and
number of edges, E = ?
Therefore, from Euler's formula
.
Thus, the required number of edges of the given polyhedron is 38.
Option (C) is CORRECT.
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Step-by-step explanation: