Rhodium $($Rh$)$ has a FCC crystal structure. A diffractogram obtained with X$-$rays of $0\mathrm{.}0711$ nm shows the $(3111)$ plane peak at a $2c$ of $36\mathrm{.}12.$ Determine the interplanar spacing, cell parameter value $($a$)$ and density of rhodium. $($ Rh atomic mass is $102\mathrm{.}9\frac{g}{m}ol)$

$(3$ points$)$