Question:
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature ' $T$ ', the coefficient of linear expansion of the metal sheet is ' $\alpha$ '. The metal sheet is heated uniformly, by a small temperature $\Delta \mathrm{T}$, so that its new temperature is $\mathrm{T}+\Delta \mathrm{T}$. Calculate the increase in the volume of the metal box.
Correct Option: 1
Solution:
$\Delta \mathrm{V}=\mathrm{V} \gamma \Delta \mathrm{T}$
$\Delta \mathrm{V}=3 \mathrm{a}^{3} \alpha \Delta \mathrm{T}$