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The volume of a cube is increasing at a rate of 9 cubic centimeters per second How fast is the surface area increasing when the length of an edge is 4 centimeters?
Wiki User
∙ 14y ago
This is a classic calculus problem.
V=s3
dV=3s2 ds
ds = dV/(3s2)
dV = 9 cm3/s
s=4 cm
ds = 9/(3*64) = 3/64 cm/s
SA=6s2
dSA=12s ds
dSA=48*(3/64) cm2/s = 9/4 cm2/s = 2.25 cm2/s
Wiki User
∙ 14y ago
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