An ice chest is constructed of Styrofoam [k = 0.033 W/m C] with inside dimensions of

An ice chest is constructed of Styrofoam [k = 0.033 W/m ∙ ºC] with inside dimensions of 25 by 40 by 100 cm. The wall thickness is 5.0 cm. The outside of the chest is exposed to air at 25ºC with h = 10 W/m2 ∙ ºC. If the chest is completely filled with ice, calculate the time for the ice to completely melt. State your assumptions. The enthalpy of fusion for water is 330 kJ/kg.