A Styrofoam cooler has a surface area of 2,700 cm2 and a wall thickness of 3.0 cm. Styrofoam has a coefficient of thermal conductivity of 0.01 W/m C. A 2.0 kg block of ice is placed inside the cooler that has a temperature inside of 2.0°C. If the heat of fusion for ice is 333.7 kJ/kg and the temperature outside is 35.0°C, then how long will the ice last?