Question

hyy answer my question☺️​​

Answer 1

Hello Mate,

Here is your answer,

To Find:

• Euler's formula for the above shapes

Formula Used:

• Euler's Formula: (F + V = E + 2)

Where,

F => No. of faces

V => No. of vertices

E => No. of edges

Solution:

• In fig(i),

F = 6

V = 8

E = 12

Apply Euler's formula,

F + V = E + 2

6 + 8 = 12 + 2

• In Fig (ii),

F = 9 (interior square not included)

V = 9

E = 16

Apply Euler's formula,

F + V = E + 2

9 + 9 = 16 + 2

18 = 18

• In fig (iii)

F = 6

V = 8

E = 12

Apply Euler's formula,

F + V = E + 2

6 + 8 = 12 + 2

14 = 14

• In fig (iv),

F = 5

V = 5

E = 8

Apply Euler's formula,

F + V = E + 2

5 + 5 = 8 + 2

10 = 10

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