$(a)\;400pm\qquad(b)\;405pm\qquad(c)\;409pm\qquad(d)\;410pm$

For face-centered cubic unit , Z = 4,

We know that , $V = \large\frac{Z\times M}{N_0\times d}$

$= \large\frac{4\times 108}{(6.023\times10^{23})\times10.5}$

$ = 6.83\times10^{-23}$

$= 68.3\times10^{-24}$

Let a be the edge length of the unit cell .

So, $V = a^3$

or $a^3 = 68.3\times10^{-24}$

$a = (68.3\times10^{-24})^{\large\frac{1}{3}}$cm

$ = 4.09\times10^{-8}$cm

= 409 pm

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