A polyhedron (not regular) has 10 vertices and 5 faces. How many edges does it have?
1 answer:
Answer:
13 edges
Step-by-step explanation:
Euler's formula for polyhedra states that
F + V - E = 2 ( F is faces, V is vertices and E is edges ) , then
5 + 10 - E = 2
15 - E = 2 ( subtract 2 from both sides )
13 - E = 0 ( add E to both sides )
13 = E
The polyhedron has 13 edges
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