The density (d) of a liquid is calculated by measuring its depth (c) in a calibrated rectangular tank and then emptying it into a mass measuring system. The length and width of the tank are (a) and...

The density (d) of a liquid is calculated by measuring its depth (c) in a calibrated

rectangular tank and then emptying it into a mass measuring system. The length and

width of the tank are (a) and (b), respectively, and thus the density is given by:

d ¼ m=ða b cÞ

where m is the measured mass of the liquid emptied out.

If the possible errors in the measurements of a, b, c, and m are 1%, 1%, 2%, and

0.5%, respectively, determine the likely maximum possible error in the calculated

value of the density (d).