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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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