Final answer:
The dry density of the soil compacted in an embankment with a total density of 2.22 g/cm³ and a water content of 12% is calculated to be 1.982 g/cm³.
Step-by-step explanation:
The question asks us to calculate the dry density of soil that has been compacted in an embankment, given a total density of 2.22 g/cm³ and a water content of 12%. Additionally, the specific gravity (Gs) of the soil is given as 2.65. Using the formula for dry density, ρd = (ρ / (1 + w)), where ρ is the total density and w is the water content, we can calculate the dry density.
First, convert the percentage of water content to decimal by dividing by 100: w = 12% / 100 = 0.12. Then, plug the values into the formula: ρd = (2.22 g/cm³ / (1 + 0.12)) = 2.22 g/cm³ / 1.12 = 1.982 g/cm³.
Thus, the dry density of the soil is 1.982 g/cm³.