Q.12 A polyhedron has 14 faces 2 poin
24 vertices. What's the
number of edges of the
polyhedron?
Answers
Answered by
1
Answer:
The edges of a polyhedron are the edges where the faces meet each other. The vertices are the corners of the polyhedron. Euler's Formula tells us that if we add the number of faces and vertices together and then subtract the number of edges, we will get 2 as our answer. The formula is written as F + V - E = 2.
Step-by-step explanation:
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Answered by
0
Step-by-step explanation:
V−e+f=2−2g
you have specified e=24 and f=10, so…
v=16−2g
For genus 0, it will have 16 vertices,
For genus 1, it will have 14 vertices,
For genus 2, it will have 12 vertices (if this is even possible).
The genus cannot be arbitrarily high, and with only 10 faces, I’m not certain you can even find a solution with genus 2, let alone greater than 2
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