Calculate the amount of cubic yards of soil, Civil Engineering

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A proposed building site requires 135,000-ft3 of imported fill.  A borrow site is located 5-miles Northeast of the project site where the soil has a shrinkage of 16%.  The amount of cubic yards of soil that must be excavated from the borrow site is most nearly: 

Solution: Apply the equation, calculate the bank volume from the borrow site using the known components of the equation:  

Vcompacted = [(100% - % shrinkage) ÷ 100%] x Vbank

135,000-ft3= [(100% - 16% shrinkage) ÷ 100%] x Vbank

 = 135,000-ft3 ÷ .84 = Vbank

 Vbank = 160,715-ft3 ÷ (3-ft/yd)3 = 5,950-yds3


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