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 of estimating the amount of ice remaining in a thermocole icebox after 6 hours, we will follow these steps:

### Step 1: Identify the parameters
- Side length of the icebox, \( a = 30 \, \text{cm} = 0.3 \, \text{m} \)
- Thickness of the icebox, \( T = 5 \, \text{cm} = 0.05 \, \text{m} \)
- Mass of ice, \( m_{\text{initial}} = 4 \, \text{kg} \)
- Outside temperature, \( T_{\text{outside}} = 45 \, \text{°C} \)
- Inside temperature (melting point of ice), \( T_{\text{inside}} = 0 \, \text{°C} \)
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