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Introduction to Engineering Materials Hand-in Homework Exercise 1 1) Determine the volume of the unit cell of FCC Aluminium and calculate the theoretical density of Aluminium given: RAl = 1.43Å Atomic mass = 26.981g/g.mol NA = 6.02 x 1023 atoms/g.mol 2) Iron carbide (Fe3C) is an intermetallic compound that has an orthorhombic structure with a0 = 4.514 Å, b0 = 5.08 Å and C0 = 6.73 Å. Its density is 7.66 Mg/m3. Determine the number of iron and carbon atoms in each unit cell. 3) Derive the relationship between R & a0 in SC, FCC & BCC unit cells.