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The volume of cube is increasing at the rate of 6 cm/minutes. how fast is the surface area increasing when the length of an edge is 12cm.

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the change of volume per time,

dV/dt = 6cm/min

the length of a side

s = 12cm

Volume of a cube, V =

differentiating it with time,

= 3s²

substituting the values given:

6 = 3(12)²

= 0.0139 cm/min