Answer:
52,891.735 cy
Explanation:
Data provided in the question:
Net volume of the soil excavated = 50,000 cy = 50,000 × 27 ft³
Dry weight of the soil = 110 pcf
Moisture content = 18%
Unit weight of soil at borrow site, γ = 120 pcf
Water content ratio, w = 15.4% = 0.154
Thus,
Weight of sold required = Dry weight × Net volume of the soil excavated
= 110 × 50,000 × 27
= 148,500 kips
Dry density of soil at borrow site = [tex]\frac{\gamma}{1+w}[/tex]
= [tex]\frac{120}{1+0.154}[/tex]
= 103.986 pcf
Therefore,
The volume of soil required = weight ÷ Density
= [ 148,500 × 10³ ] ÷ 103.986
= 1428076.857 cft
or
= 1428076.857 ÷ 27 cy
= 52,891.735 cy
