Question

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

Answer 1

When a solid is heated, it expands in all directions. The volume of a cube also increases.
Let V₀ be the volume of cube of side L₀ at 0°C. i.e. V₀ = L₃₀ – V
When temperature increases to t°C each side increases to V_t
∴ V_t = L³_t
Increase in volume = (V_t — V₀) [L³_t — L³₀]
Increase in temperature = (t — O)°C = t°C