Question

19. Using Euler’s formula, fill in the

blanks:

a b c

Faces 6 _ 4

Vertices 8 10 _

Edges _ 15 6​

Answer 1

Correct Question ⤵

$6 , \: ? , \: 4 \\ 8, 10, ? \\ ?, 15, \: 6$

Required Solution ⤵

$\sf\colorbox{green}{We Know the Formula of Euclid's}$

$\;\large{\boxed{\bf{\red{ F + V = E + 2}}}}\: is \: the \: formula$

1 )

$F + V = E + 2 \\ \sf\pink{6 + 8} = E + \sf\pink{2} \\ \sf\pink{14} = E +\sf\pink{2} \\ \sf\pink{14 - 2} = E \\ \;\large{\boxed{\bf{\purple{ E = 12}}}}$

2)

$F + V = E + 2 \\ F + \sf\pink{10} =\sf\pink{15 + 2} \\ F = \sf\pink{17 - 1 0} \\ \;\large{\boxed{\bf{\purple{ F = 7}}}}$

3)

$F + V = E + 2 \\ \sf\pink{4} + V = \sf\pink{6 + 2} \\ V = \sf\pink{8 - 4} \\ \;\large{\boxed{\bf{\purple{ V = 4}}}}$

$\sf\colorbox{green}{ Required answer... }$

6 , 7 , 4

8 , 10 , 4

12 , 15 , 6

$\sf\blue{hope \: this \: helps \: you!! \: }$

@Mahor2111

_________❀❀❀❀❀_________