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

Question

Mathematics

Ellis Ferrell

16 December, 11:53

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

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Answers (2)

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Greta Chang · Answer 1

Greta Chang 16 December, 12:10

0

12 Edges.

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Romero · Answer 2

12

Step-by-step 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