write Eular's formula and calculate the value of E if F=6 and V=4
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Step-by-step explanation:
Euler's formula,
F + V - E = 2
Given by question,
F = 6 and V = 4
To find, E = ?
By Euler's formula,
F + V - E = 2
Where, F is the number of faces,
V is the number of vertices and
E is the number of edges
∴ 6 + 4 - E = 2
⇒ 10 - E = 2
⇒ E = 10 - 2 = 8
∴ The number of edges, E = 8
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