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A cut and fill operation requires moving 2,400 cubic yards of soil. The soil has a swell factor of 25% when excavated and a shrinkage factor of 8% when compacted. How many cubic yards must be excavated to achieve 2,400 cubic yards of compacted fill?

Correct Answer

A) 2,609 cubic yards

Required in-place volume = 2,400 ÷ (1 - 0.08) = 2,400 ÷ 0.92 = 2,609 cubic yards of original soil must be excavated.

Answer Options
A
2,609 cubic yards
B
2,174 cubic yards
C
3,261 cubic yards
D
2,880 cubic yards

Why This Is the Correct Answer

Required in-place volume = 2,400 ÷ (1 - 0.08) = 2,400 ÷ 0.92 = 2,609 cubic yards of original soil must be excavated.

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