Question

verify eulers formula in the given figure
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Answer 1

Answer:

1) Faces = 6, vertices = 8, Edges = 12

  By Euler's Formula, We get, 6 + 8 = 12 + 2 = 14 Hence, Verified

2) Faces = 9, Vertices = 9, Edges = 16

  By Euler's Formula, We get, 9 + 9 = 116 + 2 = 18 Hence, Verified

3) Faces = 6, Vertices = 8, Edges = 12

  By Euler's Formula, We get, 6 + 8 = 12 + 2 = 14 Hence, Verified

4) Faces = 5, vertices = 5, Edges = 8

   By Euler's Formula, We get, 6 + 8 = 12 + 2 = 14 Hence, Verified

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Answer 2

Step-by-step explanation:

Euler formula statement:

F+V= E+2

where F is number of faces,

V is number of vertices,

E number of edges

1. here F = 6

• V = 8
• E= 12
• now according to eular's formula
• F+V= 8+6=14
• & E+2= 12+2=14
• therefore, F+V= E+2

2. here F = 9

• V= 9
• E= 16
• now according to eular's formula
• F+V= 9+9=18
• & E+2= 16+2=18
• therefore, F+V= E+2

3. here F = 6

• V = 8
• E= 12
• now according to eular's formula
• F+V= 8+6=14
• & E+2= 12+2=14
• therefore, F+V= E+2

4. here F = 5

• V = 5
• E= 8
• now according to eular's formula
• F+V= 5+5=10
• & E+2= 8+2=10
• therefore, F+V= E+2