A solid metallic cube having total surface area 24 m² is uniformly heated. if its temperature is increased by 10⁰C, calculate the increase in volume of the cube.

(Given a = 5.0 × 10^{-4 0}C^-1).

Correct Option - 2


Detailed Solution:

Given

6a² = 24

a² = 4

 

a = 2m

$\Delta v=v\left(\gamma \right)\Delta T$                

$=3\alpha v\Delta T$              

$=3\times 5\times 10^{-4}\times \left(a^3\right)\times 10$                

$=3\times 5\times 10^{-4}\times 8\times 10$              

$\begin{array}{l}=120\times 10^3\\ =1.2\times 10^{5}c{m}^3\end{array}$                

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