# calculus

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the side of a cube is expanding at a constant rate of 2 centimeters per sesond. what is the instantaneous rate of change of the surface area of the cube, in cm2 per second, when its volume is 27 cubic cm

• calculus -

For a cube, SA = 6s^2. Differentiate with respect to time.

dSA/dt = 12s(ds/dt)

ds/dt is given as 2cm/s.
When V = 27cm^3, s = 3cm. dSA/dt=?

• calculus -

72

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