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 ‘a’. The metal sheet is heated uniformly, bya small temperature $\Delta T,$  so that its new temperature is T + $\Delta T.$  Calculate the increase in the volume of the metal box.

<p><span contenteditable="false"> <math> <mrow> <mi>γ</mi> <mo>=</mo> <mn>3</mn> <mi>α</mi> </mrow> </math> </span></p><p><span contenteditable="false"> <math> <mrow> <mi>Δ</mi> <mi>V</mi> <mo>=</mo> <mi>γ</mi> <mi>V</mi> <mi>Δ</mi> <mi>T</mi> <mo>=</mo> <mn>3</mn> <mi>α</mi> <mo>.</mo> <msup> <mrow> <mi>a</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> <mo>.</mo> <mi>Δ</mi> <mi>T</mi> </mrow> </math> </span></p>

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