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 ⁰C^-1).**

Option 1 - 2.4 × 106 cm3

Option 2 - 1.2 × 105 cm3

Option 3 - 1.2 × 105 cm3

Option 4 - 4.8 × 105 cm3

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Answered by

Raj Pandey | Contributor-Level 9

6 months ago

Correct Option - 2

Detailed Solution:

Given

6a² = 24

a2 = 4

a = 2m

$Δ v = v (γ) Δ T$

$= 3 α v Δ T$

$= 3 * 5 * 1 0^{- 4} * (a^{3}) * 10$

$= 3 * 5 * 1 0^{- 4} * 8 * 10$

$\begin{array}{l} = 120 * 1 0^{3} \\ = 1.2 * 1 0^{5} c m^{3} \end{array}$

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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 0C-1).