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viva [34]
3 years ago
11

Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?

Mathematics
1 answer:
qwelly [4]3 years ago
3 0
<h3>By Euler's Formula </h3>

F + V = E + 2

<h2><u>Solution</u></h2>

  • F = 9

  • V = 14

  • E = ?

<h3>Substuting the values</h3>

⇨ 9 + 14 = E + 2

⇨ 23 = E + 2

⇨ 23 - 2 = E

⇨ 21 = E

Hence , the number of edges in polyhedron is 21.

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\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}

Let,

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