If the surface area of a cube is increasing at a rate of \( 3.6 \mathrm{~cm}^{2} / \mathrm{sec} \), retaining its shape; then the rate of change of its volume (in \( \mathrm{cm}^{3} / \mathrm{sec} \) ), when the length of a side of the cube is \( 10 \mathrm{~cm} \), is:

[JEE Main 2020, 3 Sep (Shift 2)]

Question

If the surface area of a cube is increasing at a rate of \( 3.6 \mathrm{~cm}^{2} / \mathrm{sec} \), retaining its shape; then the rate of change of its volume (in \( \mathrm{cm}^{3} / \mathrm{sec} \) ), when the length of a side of the cube is \( 10 \mathrm{~cm} \), is:

[JEE Main 2020, 3 Sep (Shift 2)]

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