Chain rule derivative applied to an ice cube
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Chain rule derivative applied to an ice cube

[From: ] [author: ] [Date: 12-06-27] [Hit: ]
dV/dt = -17.Your numbers are great,......
A cubical block of ice is melting in such a way that each edge decreases steadily by 5.9 cm every hour. At what rate is its volume decreasing when each edge is 2 meters long?

then volume = l^3
dl/dt = 5.9cm/h = .059m/h

dV/dt = dV/dl * dl/dt
= 3l^2 * .059 m/h

at l = 2
dV/dt = -0.708 m/h

I think the answer is correct but it isn't. Where did I make mistakes?

Anyone help me?!!

Thank you.

-
V = s^3
dV/dt = 3s^2 * ds/dt
dV/dt = 3 * 200^2 * -5.9
dV/dt = -17.7 * 40000
dV/dt = -708000

-708000 cubic cm / h

Your numbers are great, maybe they wanted it in cubic cm instead of cubic meters
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