Question

How many vertices are required for a polyhedron with 10 faces and 20 edges?
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Answer 1

Step-by-step explanation:

.15 vertices................

Answer 2

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★ By using Euler's formula

$\longrightarrow \boxed{ \sf F+V-E=2 }\\ \\\longrightarrow \sf 10 + V - 20 = 2 \\ \\\longrightarrow \sf V - 10 = 2 \\ \\\longrightarrow \sf V = 10 + 2 \\ \\\longrightarrow \sf V = 12$

∴ 12 vertices are required for a polyhedron with 10 faces and 20 edges