A fill area needs 960 compacted cubic yards. If shrinkage from loose to compacted volume is 15 percent, what loose volume is needed?
Correct Answer
C) 1,129 cy
Loose volume is 960 / 0.85 = 1,129 cy.
Why This Is the Correct Answer
Loose volume is 960 / 0.85 = 1,129 cy.
Why the Other Options Are Wrong
Option A: 1,016 cy
loose fill volume, choice a: 1,016 cy implies compacted volume is about 94.49 percent of loose volume; the accepted shrinkage factor is 85 percent in Loose volume is 960 / 0.85 = 1,129 cy.
Option B: 1,241 cy
loose fill volume, choice b: 1,241 cy implies compacted volume is about 77.36 percent of loose volume; the accepted shrinkage factor is 85 percent in Loose volume is 960 / 0.85 = 1,129 cy.
Option D: 960 cy
loose fill volume, choice d: 960 cy implies compacted volume is about 100 percent of loose volume; the accepted shrinkage factor is 85 percent in Loose volume is 960 / 0.85 = 1,129 cy.
Memory Technique
Keep a weep path beside loose fill volume: if one number is skipped, the option drifts away from 1,129 cy.
Reference Hint
Open Pipe and Excavation Contracting, 2011; use by topic index - earthwork volume / swell / shrink to confirm that Loose volume is 960 / 0.85 = 1,129 cy.
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