Question

A solid metallic cube having total surface area $ 24 \, \text{m}^2 $ is uniformly heated. If its temperature is increased by $ 10^\circ \, \text{C} $, calculate the increase in volume of the cube. 
$ \text{(Given: } \alpha = 5.0 \times 10^{-4} \, \text{C}^{-1} \text{)} $

• A. \( 2.4 \times 10^6 \, \text{cm}^3 \)
• B. \( 1.2 \times 10^5 \, \text{cm}^3 \)
• C. \( 6.0 \times 10^4 \, \text{cm}^3 \)
• D. \( 4.8 \times 10^5 \, \text{cm}^3 \)

Hint:

For solids, use \( \gamma = 3\alpha \) to find volumetric expansion. Ensure units for \( V_0 \) are consistent and surface area formulas are accurately applied.