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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 ‘α’. The metal sheet is heated uniformly, by a small temperature ΔT, so that its new temperature is T+ΔT. Calculate the increase in the volume of the metal box:

a. 4a3αΔT 

b. 4πa3αΔT

c. 3a3αΔT

d. 4/3 πa3αΔT

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The  correct Answer is C)  3a3αΔT 

ΔV = VγΔT

ΔV = 3a3αΔT

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