A fill area needs 840 compacted cubic yards. If shrinkage from loose to compacted volume is 15 percent, what loose volume is needed?
Correct Answer
C) 988 cy
Compacted volume is 85% of loose volume, so loose volume is 840 / 0.85 = 988 cy.
Why This Is the Correct Answer
Compacted volume is 85% of loose volume, so loose volume is 840 / 0.85 = 988 cy.
Why the Other Options Are Wrong
Option A: 889 cy
loose fill from shrinkage, choice a: 889 cy is wrong because 889 cy implies compacted volume is about 94.49 percent of loose volume; the accepted shrinkage factor is 85 percent in.
Option B: 1,086 cy
loose fill from shrinkage, choice c: 1,086 cy implies compacted volume is about 77.35 percent of loose volume; the accepted shrinkage factor is 85 percent in.
Option D: 714 cy
loose fill from shrinkage, choice d: 714 cy is wrong because 714 cy implies compacted volume is about 117.65 percent of loose volume; the accepted shrinkage factor is 85 percent in.
Memory Technique
Say the loose fill from shrinkage rule aloud as a chain; the chain ends at 988 cy, not an intermediate stop.
Reference Hint
Open Pipe and Excavation Contracting, 2011; use by topic index - earthwork volume / swell / shrink to confirm that Compacted volume is 85% of loose volume, so loose volume is 840 / 0.85 = 988 cy.
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