Question
A cubical metal solid block is heated. How will its volume change?

Answer

When a solid is heated, it expands in all directions. The volume of a cube also increases.
Let $V_0$ be the volume of cube of side $L_0$ at $0^{\circ}C$. i.e. $V_0 = L_{30} – V$
When temperature increases to $t^{\circ} C$ each side increases to $V_t$
$\therefore V_t = L^3_t$​​​​​​​
Increase in volume $= (V_t — V_0) [L^3_t — L^3_0]$
Increase in temperature $= (t — O)^{\circ}C = t^{\circ}C$

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