The possible error involved in measuring each dimension of a rectangular box is ±0.02 inches. the dimensions of the box are 8 inches by 5 inches by 12 inches. approximate the propagated error and the relative error in the calculated volume of the box.

Step-by-step explanation:

Given

Possible dimension error is

length of box

Width

height

Volume V is given by

and it is given

since error always add therefore

Propagated error is

relative error

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a