find the percentage error in calculating the volume of the cubical box if an error of `1%` is made in measuring the length of the edges of the cube.

find the percentage error in calculating the volume of the cubical box

1.	find the percentage error in calculating the volume of the cubical box if an error of `1%` is made in measuring the length of the edges of the cube.
Answer» let the edge of cube is `x` volume `v= x^3` `(dv)/(dx) = 3x^2` `del x = dx` `(dx)/x xx 100 = 1` `=> dx = x/100` `dv = del v` `= (dv)/(dx) xx dx= 3x^2 xx x/100 = (3x^3)/100` `(dv)/v xx 100 = (3x^3)/(100 xx v) xx 100 ` `= (3x^3)/(100 xx x^3) xx 100` percentage change in v error=`3%` Answer

find the percentage error in calculating the volume of the cubical box if an error of `1%` is made in measuring the length of the edges of the cube.
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