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the volume of cube increases at …

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the volume of cube increases at a constant rate prove that the increase in its surface varies inversely as the length of the side????????????¿?? plzz guys give me the answer

    • Posted by Akanksha Kumari 4 years, 1 month ago

    CBSE > Class 12 > Mathematics
    • 2 answers

    Akanksha Kumari 4 years, 1 month ago

    Thanks yrr

    0Thank You

    Unnat Mishra 4 years, 1 month ago

    Let the side of cube be x Volume of cube=x^3 V=x^3 Differentiating both side with respect to t dV/dt=3x^2 dx/dt = k Where k=constant dx/dt= k/3x^2 ... (1) Surface area = 6x^2 Differentiating both side dS/dt = 12x dx/dt dS/dt = 12x k/3x^2 (from 1) dS/dt = 4k/x dS/dt is directly proportional to 1/x Thus, the increase in surface area varies inversally as the length of side

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