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romanna [79]
3 years ago
10

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

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

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.

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