A metal has an FCC crystal structure. The lattice parameter is 0.38 nm and the relative atomic weight of the atoms is 85. Given Avogadro's number = 6.022 1023 atoms/mol. (a) Calculate the density of this metal in g/cm. (b) (8 marks) What is the difference in length (in nm) between the face diagonal and the body diagonal to three decimal places. (6 marks) (c) Without using the density equation, determine the number of atoms required to plate a surface of 2500 cm to 0.006-cm thickness with this metal. (6 marks)