NASCLA Accredited Commercial General ContractorSite WorkHard

A construction company is planning to install a 6-inch diameter water main across a property. The trench for the water main will be 6 feet deep and 2 feet wide. The total length of the trench is 500 linear feet. If the excavated soil has a swell factor of 20%, what is the approximate volume of loose soil that will need to be managed (e.g., hauled away or stockpiled) in cubic yards?

  1. A185 cubic yards
  2. B300 cubic yards
  3. C222 cubic yards
  4. D260 cubic yards
Show answer & explanation

Correct answer: C. 222 cubic yards

First, calculate the in-place volume of excavation: 6 ft (depth) * 2 ft (width) * 500 ft (length) = 6000 cubic feet. Convert to cubic yards: 6000 CF / 27 CF/CY = 222.22 cubic yards. Now, apply the swell factor: 222.22 CY * (1 + 0.20) = 222.22 CY * 1.20 = 266.66 cubic yards. The closest answer is 260 cubic yards.

Why the other options are wrong

  • A. This would be the volume if there was no swell factor (222.22 CY is close to 222 CY, but the question asks for loose soil).
  • B. 300 cubic yards is too high for the given dimensions and swell factor.
  • D. This is the correct approximate volume of loose soil after accounting for a 20% swell factor. Calculation: (6*2*500)/27 * 1.20 = 266.66 CY, closest to 260 CY.

Soil Swell Factor

The percentage increase in volume of soil after it has been excavated and loosened, compared to its original in-place volume. This factor is crucial for calculating the actual volume of loose material that needs to be handled.

  • Loose volume = In-place volume * (1 + Swell Factor).
  • Accounts for air voids created during excavation.
  • Important for estimating hauling and stockpiling needs.

Memory trick: Cut volume first, then swell, that's the loose amount, to tell.

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