A thermocole cubical icebox of side 30 cm has a thickness of 5.0 cm if 4.0 kg of ice are put ini the box, estimate the amount of ice remaining after 6 h. The outside temperature is `45^@C` and coefficient of thermal conductivity of thermocole`=0.01 J//kg`.

Explanation

To solve the problem step by step, we will use the principles of calorimetry to find out how much ice remains after 6 hours in the thermocole icebox.

### Given Data:
- Side of the icebox, \( a = 30 \, \text{cm} = 0.3 \, \text{m} \)
- Thickness of the icebox, \( d = 5 \, \text{cm} = 0.05 \, \text{m} \)
- Mass of ice, \( m = 4.0 \, \text{kg} \)
- Outside temperature, \( T_{\text{outside}} = 45^\circ C \)
- Coefficient of thermal conductivity of thermocole, \( K = 0.01 \, \text{J/(m·s·K)} \)
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