A utility trench is 180 ft long, 3 ft wide, and 7 ft deep with vertical sides inside a trench shield. What excavation volume is required?
Correct Answer
D) 140 cy
Volume is 180 x 3 x 7 = 3,780 cf. Dividing by 27 gives 140 cy. Other choices use the wrong depth, add an unsupported allowance, or forget to convert cubic feet to cubic yards.
Why This Is the Correct Answer
Volume is 180 x 3 x 7 = 3,780 cf. Dividing by 27 gives 140 cy. Other choices use the wrong depth, add an unsupported allowance, or forget to convert cubic feet to cubic yards.
Why the Other Options Are Wrong
Option A: 126 cy
trench excavation volume, choice a: 126 cy equals about 3,402 cf after cubic-yard conversion; the accepted cubic-foot volume is 3,780 cf before dividing by 27 in.
Option B: 147 cy
trench excavation volume, choice b: 147 cy equals about 3,969 cf after cubic-yard conversion; the accepted cubic-foot volume is 3,780 cf before dividing by 27 in.
Option C: 420 cy
trench excavation volume, choice d: 420 cy equals about 11,340 cf after cubic-yard conversion; the accepted cubic-foot volume is 3,780 cf before dividing by 27 in.
Memory Technique
Picture a gate labeled trench excavation volume: finish every operation before accepting 140 cy.
Reference Hint
Open Pipe and Excavation Contracting, 2011; use the index entry or section for "Trench excavation quantity takeoff" to confirm that Volume is 180 x 3 x 7 = 3,780 cf.
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