Question

using eular formula pls give answer

Answer 1

Step-by-step explanation:

QuestioN ::-

.

i) Face - 7

Vertices - 10

Edges - x

.

ii) Face - y

Vertices - 12

Edges - 18

.

iii) Face - 9

Vertices - z

Edges - 16

.

iv) Face - p

Vertices - 6

Edges - 12

.

v)Face - 6

Vertices - q

Edges - 12

vi) Face - 8

Vertices - 11

Edges - r

To Find ::-

Unknown vertices, faces, edges?

Formula ::-

F + V - E = 2

AnsweR ::-

i) 7 + 10 -x = 2

=> 17 - x = 2

=>- x = 2 - 17

=>- x = -15

=> x =15

.

ii) y + 12 - 18 = 2

=> y - 6 = 2

=> y = 2+6

=> y = 8

.

iii) 9 + z -16 = 2

=> z -7 = 2

=> z = 2 + 7

=> z = 9

.

iv) p + 6 - 12 = 2

=> p - 6 = 2

=> p = 2+6

=> p = 8

.

v) 6 + q - 12 = 2

=> q - 6 = 2

=> q = 2+6

=> q = 8

.

vi) 8 + 11 - r = 2

=> 19 - r = 2

=> -r = 2 - 19

=> -r = -17 (minus minus cancel)

=> r = 17

.

$\therefore \sf \purple{x = 15, y = 18, z = 9, p = 8, q = 8, r = 17}$

I hope it will be helpful...✌️