Topsoil and gravel stockpiles next to a grade stake on a sloped restoration lot

Calculating Fill Tonnage – Rock or Dirt for 1-Foot Adjustments on a 4-Foot Grade

EngineeringGroundRestorationCalculations

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You marked a 4-foot grade change on the plan. Now you need one foot of fill in the low zone. How many yards? How many tons? Rock or dirt?

Gravel and topsoil stockpiles beside a grade stake on a restoration site

Volume first

For a simple pad (length × width × depth in feet), divide by 27 for cubic yards.

Example: 40 ft × 30 ft × 1 ft = 1,200 cu ft ÷ 27 ≈ 44.4 cubic yards

Add shrink/swell: compacted fill often needs 10–15% extra loose volume depending on material and moisture.

Rock versus dirt

MaterialLoose lb/cu ft (typical)Notes
Common fill dirt90–110Compacts with moisture
Clean gravel / #5795–105Drains well, less shrink
Limestone riprap100–120Heavier, armoring slopes

Tons ≈ (cubic yards × 27 × density lb/cu ft) ÷ 2,000

44.4 yd³ of dirt at 100 lb/cu ft ≈ 60 tons loose before compaction.

Handwritten cut-fill calculation on a site plan with slope percentage

Slope check

On a 4-foot rise over run R, slope percent = (4 ÷ R) × 100. Steeper slopes need shorter bench lifts — do not place a full foot of loose fill on bare clay and walk away.

Order one truck at a time until your stakes agree with your tape. Math is cheap; regrading is not.