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:  

V_compacted = [(100% - % shrinkage) ÷ 100%] x V_bank

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

 = 135,000-ft³ ÷ .84 = V_bank

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