Question

How many edges does a solid with 11 faces and 11 vertices have?

Answer 1

Answer:

20

Step-by-step explanation:

Given: F = 11, C = 11, E=?

By Euler's formula, we have:

$F + V - E = 2 \\ \therefore \: 11 + 11 - E = 2 \\ \therefore \:22 - E = 2 \\ \therefore \:22 - 2 = E \\ \huge \red{ \boxed{\therefore \: E = 20}}$

Hence, the solid will have 20 edges.