Question

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

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

Hint:

For thermal expansion in solids, volume change is calculated using \( \Delta V = V_0 \gamma \Delta T \), where \( \gamma = 3\alpha \).