A solid metallic cube having total surface area \( 24 \mathrm{~m}^{2} \) is uniformly heated. If...

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A solid metallic cube having total surface area \( 24 \mathrm{~m}^{2} \) is uniformly heated. If its temperature is increased by \( 10^{\circ} \mathrm{C} \), calculate the increase in volume of the cube (Given : \( \alpha=5.0 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1} \) )
(a) \( 2.4 \times 10^{6} \mathrm{~cm}^{3} \)
(b) \( 1.2 \times 10^{5} \mathrm{~cm}^{3} \)
(c) \( 6.0 \times 10^{4} \mathrm{~cm}^{3} \)
(d) \( 4.8 \times 10^{5} \mathrm{~cm}^{3} \)
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