Heat And Thermodynamics

An ice cube of dimensions \(60 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}\) is placed in an insulation box of wall thickness \(1 \mathrm{~cm}\). The box keeping the ice cube at \(0^{\circ} \mathrm{C}\) of temperature is brought to a room of temperature \(40^{\circ} \mathrm{C}\). The rate of melting of ice is approximately :

(Latent heat of fusion of ice is \(3.4 \times 10^{5} \mathrm{~J} \mathrm{~kg}^{-1}\) and thermal conducting of insulation wall is \(0.05 \,\mathrm{Wm}^{-1 \circ} \mathrm{C}^{-1}\) )