A metal crystallizes in the face$-$cent ered cubic crystal structure with a unit cell edge of $5\mathrm{.}08{10}^{-8}cm.$

The density of the metal is $11\mathrm{.}7\frac{g}{c}c.$

$($a$)$ What is the mass, in grams, of a single atom of this element?

$($b$)$ What is the atomic weight of the element $(\frac{g}{m}ol).$

$($c$)$ What is the radius, in $cm,$ of an atom of the eleme