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A convex polyhedron has 10 faces and 11 vertices. How many edges does it have?
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1 vote
A convex polyhedron has 10 faces and 11 vertices.

How many edges does it have?

User Erik Van Berkum
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2 Answers

4 votes
the polyhedron has 12 faces

User Techstack
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7.6k points
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You literally just plug in your given values into Euler's characteristic and solve.

V - E + F = 2
11 - E + 10 = 2
- E + 21 = 2
21 = 2 + E
19 + E

Therefore it has 19 edges.
User Xamgore
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6.5k points
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