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4 votes
A polyhedron has 6 faces and 8 vertices. how many edges does it have?

User JD Brennan
by
4.3k points

2 Answers

3 votes

Answer:

12

Explanation:

Euler's formula for polyhedra states

F + V - E = 2

where F is faces, V is vertices and E is edges

Here F = 6, V = 8, thus

6 + 8 - E = 2, that is

14 - E = 2 ( subtract 14 from both sides )

- E = - 12 ( multiply both sides by - 1 )

E = 12 ← number of edges

User Benjamin Crouzier
by
4.8k points
5 votes

Answer:

12 Edges.

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Explanation:

User Tinou
by
4.5k points