English, asked by hetprit191, 3 months ago

Using Euler's formula find the value of unknown x and y. faces = 7, y . vertices = 10,12. edges = x, 18​

Answers

Answered by st6715
1

Explanation:

Using Euler's formula find the value of unknown x and y. faces = 7, y . vertices = 10,12. edges = x, 18. I have also same doubt bro

Answered by shine1a2b
2

Answer:

As per question:

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

  F + V - E = 2

  Where, F = Faces and V = Vertices and E = Edges

i) Given, F = 7 and V = 10 and E = x

 According to the formula:

     7 + 10 - x = 2

     17 - x = 2

     -x = 2 - 17

      x = 15

ii) Given, F = y and V = 12 and E = 18

 According to the formula:

     12 + y - 18 = 2

     -6  + y = 2

     y = 2 + 6

      y = 8

iii) Given, F = 9 and V = z and E = 16

 According to the formula:

     9 + z - 16 = 2

     -7 +  z = 2

     z = 2 + 7

      z = 9  

iv) Given, F = p and V = 6 and E = 12

 According to the formula:

     p + 6 - 12 = 2

     p - 6 = 2

     p = 2 + 6

      p = 8

v) Given, F = 6 and V = q and E = 12

 According to the formula:

     6 + q - 12 = 2

     -6 + q = 2

     q= 2 + 6

      q = 8

vi) Given, F = 8 and V = 11 and E = r

 According to the formula:

     8 + 11 - r = 2

     19 - r = 2

     r = 19 - 2

      r = 17

As per question:

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

  F + V - E = 2

  Where, F = Faces and V = Vertices and E = Edges

i) Given, F = 7 and V = 10 and E = x

 According to the formula:

     7 + 10 - x = 2

     17 - x = 2

     -x = 2 - 17

      x = 15

ii) Given, F = y and V = 12 and E = 18

 According to the formula:

     12 + y - 18 = 2

     -6  + y = 2

     y = 2 + 6

      y = 8

iii) Given, F = 9 and V = z and E = 16

 According to the formula:

     9 + z - 16 = 2

     -7 +  z = 2

     z = 2 + 7

      z = 9  

iv) Given, F = p and V = 6 and E = 12

 According to the formula:

     p + 6 - 12 = 2

     p - 6 = 2

     p = 2 + 6

      p = 8

v) Given, F = 6 and V = q and E = 12

 According to the formula:

     6 + q - 12 = 2

     -6 + q = 2

     q= 2 + 6

      q = 8

vi) Given, F = 8 and V = 11 and E = r

 According to the formula:

     8 + 11 - r = 2

     19 - r = 2

     r = 19 - 2

      r = 17

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