Question

If in a certain polyhedron, the number of edges is twice the number of faces and number of vertices is 2 more than the faces with the sum of all the three as 38, what is the number of faces?​

Answer 1

As per question:

Euler's Formula is for any polyhedrons. i.e.

F + V - E = 2

Given, F = 20 and V = 12 and E = a

According to the formula:

20 + 12 - a= 2

32 - a = 2

a = 32 - 2

a = 30.

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