Aluminium has an atomic radius of 0.143 nm, atomic weight of 26.98 g/ mol, and a fcc crystal structure. avogadro's number is 6.022x10^23 atoms/mol. calculate the following (show your work steps): (1) the number of aluminium atoms per unit cell. (2) the volume occupied by aluminium atoms in a unit cell. (3) the volume of one unit cell. (4) the atomic packing factor of aluminium. (5) the theoretical density of aluminium.