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Question Number 186473 by nadovic last updated on 04/Feb/23

$$\mathrm{A}\mathrm{metallic}\mathrm{cube}\mathrm{is}\mathrm{subjected}\mathrm{to}$$$$\mathrm{heating}\mathrm{such}\mathrm{that}\mathrm{as}\mathrm{the}\mathrm{metal}$$$$\mathrm{expands},\mathrm{the}\mathrm{total}\mathrm{surface}\mathrm{area}$$$$\mathrm{increases}\mathrm{at}\mathrm{rate}\mathrm{of}6.25{\mathrm{cm}}^2{\mathrm{s}}^{-1}.$$$$\mathrm{Calculate}\mathrm{the}\mathrm{rate}\mathrm{at}\mathrm{which}\mathrm{each}$$$$\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{cube}\mathrm{is}\mathrm{increasing}\mathrm{when}$$$$\mathrm{the}\mathrm{volume}\mathrm{is}51.2{\mathrm{cm}}^3.$$

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