How do I find small changes?

Question

a hollow metal cube has an exterior edge length of 10 cm.
use differentiation to find the approximate volume of metal required to make the cube if the walls are 2mm thick.

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Answer 1 · 2018-01-22T08:33:09

See below.

We have

#V = l^3# and also

#Delta V = 3 l^2 Deltal# then

#DeltaV = 3 xx 0.01^2 xx 0.002 = 6 xx 10^-7# [#"m"^3#]