A piece of ice is in the from of a cube melts so that the percentage error in the edge of cube is a, then find the percentage error in its volume.

Question

Philoid · Accepted Answer

given that cube edge error %[(Δx/x)×100]=a

Volume %=?

Let the edge of cube is x,

Volume; v=x³

Then, dv=3x².dx

So finally

=3×a

=3a