If a convex polyhedron has 12 edges and 8 faces, then how many vertices does it have?

Mathematics

2 answers:

atroni [7]3 years ago

5 0

Answer:

6 Vertices

Step-by-step explanation:

The Euler Formula states that for any polyhedron, if you add together the number of faces(F) and vertices(V), and subtract the number of edges(E), the answer is always two:

F + V - E = 2

8 + V - 12 = 2

∴ V = 2 - 8 + 12 = 6

Vika [28.1K]3 years ago

4 0

Hi

Use Euler's formula for this for a 3D figure. F + V = E + 2, where F is the number of faces, V is the number of vertices, E is the number of edges, +2! You have enough info to fill in the formula to find that the number of vertices is 6.
Hoped I Helped

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