Q5 of 61 Page 14

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.

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


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