Group Questions below refer to the Figure.The figure shows nearest neighbors $($truncated to be visible$)$ in an FCC unit cell.

Indicate the number of next nearest neighbors $\{29\}$

a$.4$

b$.6$

c$.8$

d$.12$

Indicate the number of next next nearest neighbors $\{30\}$

a$.4$

b$.8$

c$.16$

$($d$.)24$

e$.32$

If the radius of each atom is $\sqrt[\phantom{2}]{2},$ how long is the lattice length? $\{31\}$

a$.1$

b$.2$

c$.3$

d$.4$

c$.5$

If the volume of the unit cell is $2\sqrt[\phantom{2}]{2}{}^3,$ how much is the radius of the atoms? $\}$

a$.\frac{1}{2}$

b$.\frac{1}{4}$

c$.\frac{3}{2}$

d$.2$

e$.$ NoA