2. A 1 m x 1m x 1 m steel cube (Psteel 7600 kg/m³) is to be floated on mercury (specific gravity 13.6) with a clearance of 5 mm on each side. Assume that the container is open to atmosphere and atmospheric pressure is 100 kPa. Find the mass of mercury required. Clearly show the procedure, work in symbolic variables first and then find a numeric answer. Box your final answer.=

Fig: 1

Fig: 2