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.

Answer 2

There are 22 edges for a solid with 11 faces and 11 vertices.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

Given data;

Faces,F = 11

Vertices,V = 11

Edge,E = ?

From Euler's formula;

F+V-E = 2

11+11-E =2

22-2 =E

E=20

Hence there are 22 edges for a solid with 11 faces and 11 vertices.

To learn more about geometry, refer to https://brainly.com/question/7558603.

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