Write Euler’s Formula. If a polyhedron has 6 vertices and 12 edges. What is the number of
faces it has?
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Answer:
According to Euler’s formula for any convex polyhedron, the number of Faces (F) and vertices (V) added together is exactly two more than the number of edges (E).
F + V = 2 + E
Step-by-step explanation:
Euler's polyhedron formula, V−E+F=2
V = number of vertices = 6
E = number of edges = 12
F = number of faces = ?
6−12+F=2
F=6+2
F=8
Number of faces = 8
A octahederon has8 faces and 6 vertices with 12 edges.
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