Mathematics

Mathematics

Problem

At a certain instant the volume of a cube is 125 cm3125\,\text{cm}^3 and is increasing at 30 cm3 ⁣/s30\,\text{cm}^3\!\text{/s}. What is the rate of change of its surface area at that instant? a) 60 cm2 ⁣/s60\,\text{cm}^2\!/\text{s} b) 12 cm2 ⁣/s12\,\text{cm}^2\!/\text{s} c) 24 cm2 ⁣/s24\,\text{cm}^2\!/\text{s} d) 72 cm2 ⁣/s72\,\text{cm}^2\!/\text{s}

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