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A cut and fill operation requires moving 2,500 cubic yards of soil. The soil has a swell factor of 25% and a shrinkage factor of 8%. How many cubic yards must be excavated to achieve 2,500 cubic yards of compacted fill?

Correct Answer

D) 2,717 cubic yards

Required compacted fill = 2,500 cy. Accounting for 8% shrinkage: in-place volume needed = 2,500 ÷ 0.92 = 2,717 cubic yards must be excavated.

Answer Options
A
2,283 cubic yards
B
2,174 cubic yards
C
3,125 cubic yards
D
2,717 cubic yards

Why This Is the Correct Answer

Required compacted fill = 2,500 cy. Accounting for 8% shrinkage: in-place volume needed = 2,500 ÷ 0.92 = 2,717 cubic yards must be excavated.

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