A volume fraction f = 0.2 of silicon carbide (SiC) particles is combined with an aluminium matrix to make a metal matrix composite. The modulus of particle reinforced composites lies very close to the lower bound of Young's modulus for a composite. Calculate the density and approximate modulus of this composite. (Use the following figures in your calculation: Density of Al: 2.70 Mg/m^3 Modulus of Al: 70 GPa Density of SiC: 3.15 Mg/m^3 Modulus of SiC: 420 GPa