Aluminum crystal structure is face-centered cubic. Assume the atomic radius of Aluminum is 0.143nano meters. a)Calculate the lattice constant for this metal. (Show your calculation steps.) b)What is the atomic

packing factor for this metal? (Show your calculation steps.)(2 M c)What is the theoretical density of Aluminum in a unit cell? (Show your calculation steps.) d)Is theoretical density different from actual density? Why?(1 M