Question

5.74g of a substance occupies a volume of 1.2 cm^3 .

Calculate its density applying the principle of significant figures.

Answer 1

mass(m) = 5.74g
volume(v) = 1.2cm³

Density = m/v
            = 5.74/1.2 g/cm³
            = 574/120 g/cm³
            = 4.78333 g/cm³
            = 4783333.33 kg/m³

*************************HOPING THAT THIS WILL HELP YOU!!!*****************************

Answer 2

density = mass/volume ⇒5.74 /1.2 = 4.7833333333333333333....
⇒using laws of significant figures we have to consider the number with less significant figure here it is 1.2 which has 2 significant figures 
⇒4.8 gm/cm³
NOTE :      my answer may be different if the answer in the book  as the dimension the quantity may be different i.e. instead of the answer in dimension gm/cm³ it is given in kg/m³.it will help you.