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 ' $\alpha^{\prime}$. The metal sheet is heated uniformly, by a small temperature $\Delta T ,$ so that its new temperature is $T +\Delta T$. Calculate the increase in the volume of the metal box.

• A. $3 a ^{3} \alpha \Delta T$
• B. $4 a ^{3} \alpha \Delta T$
• C. $4 \pi a ^{3} \alpha \Delta T$
• D. $\frac{4}{3} \pi a ^{3} \alpha \Delta T$

Answer 1

Answer: (A)

$\Delta V = V \gamma \Delta T$
$\Delta V =3 a ^{3} \alpha \Delta T$