Each side of a box made of metal sheet in cubic shape is a at room temperature T , the coefficient of linear…

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.
  1. 4a3αΔT
  2. 3a3αΔT
  3. 4πa3αΔT
  4. 43πa3αΔT

Solution

ΔV=VγΔT

ΔV=3a3αΔT

Asked in: JEE Main 2021 (24 Feb Shift 1)

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