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9 grade maths

Using Euler’s formula find the unknown.Faces?520Vertices6?12Edges129?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

Euler's formula relates the number of vertices (V), edges (E), and faces (F) in a polyhedral shape:

V - E + F = 2

You have the following information:

V = 520
E = 129
F = ?
Now, you can plug these values into Euler's formula to solve for the unknown number of faces (F):

520 - 129 + F = 2

To solve for F, first, subtract 129 from 520:

520 - 129 = 391

Now, add 391 to both sides of the equation:

F = 2 + 391

F = 393

So, there are 393 faces in the polyhedral shape.