Asked by Koneko
For the polyhedron, use Euler's Formula to find the missing number.
faces: __
edges: 14
vertices: 9
Question content area bottom
Part 1
The number of faces is
8
faces: __
edges: 14
vertices: 9
Question content area bottom
Part 1
The number of faces is
8
Answers
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Answered by
GPT 3.5
Part 2
Explanation:
Euler's Formula states that for any polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the formula V - E + F = 2.
Given that the number of edges (E) is 14 and vertices (V) is 9, we can substitute these values into the formula:
9 - 14 + F = 2
-5 + F = 2
F = 2 + 5
F = 7
Therefore, the number of faces in the polyhedron is 7.
Explanation:
Euler's Formula states that for any polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the formula V - E + F = 2.
Given that the number of edges (E) is 14 and vertices (V) is 9, we can substitute these values into the formula:
9 - 14 + F = 2
-5 + F = 2
F = 2 + 5
F = 7
Therefore, the number of faces in the polyhedron is 7.
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