A polyhedron has 6 faces and 12 edges. How many vertices does it have?
Answers
Answered by
1
Answer:
F+V-E = 2 ( Euler Formula)
6+V-12=2
V-6 =2
V =8
Step-by-step explanation:
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Answered by
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Given
- A polyhedron has 6 faces and 12 edges. How many vertices does it have?
To Find
- Verticles= ?
Solution
EVALUATION
Here it is given that a polyhedron has 6 vertices and 12 edges
V = Number of vertices = 6
E = Number of edges = 12
F = Number of faces = ?
By Euler’s formula
F + V = E + 2
⇒ F + 6 = 12 + 2
⇒ F + 6 = 14
⇒ F = 8
Therefore
The number of faces = 8
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