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Asphalt · Volume Guide

Density & volume: how orders become tons

You measure in cubic yards; the plant sells in tons. Density is the exchange rate between the two, and picking the wrong density state moves a 10-yard order by almost 4 tons.

MaterialsCalc Editorial TeamMaterialsCalc Editorial TeamConstruction Estimating EditorsJuly 15, 2026

The conversion formula

Formula

Tons = Volume (ft³) × Density (lb/ft³) ÷ 2,000

Volume
cubic feet — multiply cubic yards by 27 first
Density
145 lb/ft³ compacted hot mix; see the chart below for other states
2,000
pounds per US short ton

Shortcut for standard hot mix: yd³ × 1.96 = tons. Metric: m³ × 2.32 = tonnes.

Same volume, four different tonnages

Here is the same 10 yd³ (270 ft³) order run through the formula at four common density states. The volume never changes — only the pounds packed into each cubic foot.

Tons delivered by 10 yd³, by density state

Why the state you pick matters

The spread on that chart is 3.8 tons on a 10-yard order — enough to strand a paving crew or leave a quarter of a truckload cooling on the ground. The rule for choosing: if your volume came off drawings as a finished pavement thickness, it is a compacted volume, so use the compacted density for your mix type. If you measured a stockpile, a windrow or a heaped truck bed, that is loose material at roughly 117 lb/ft³ — about 24% more volume per ton than the pavement it will become. Mixing the two states in one calculation is the most expensive mistake in small-lot asphalt buying, because it always errs in the same direction: short.

Working backwards from a ton quote

Suppliers quote tons, so invert the formula to see the volume you will actually receive: Volume (ft³) = Tons × 2,000 ÷ Density. For compacted hot mix that collapses to a constant worth memorizing — one ton places 13.8 ft³ of finished pavement, or about half a cubic yard. A 20-ton quote is therefore 276 ft³ = 10.2 yd³ of compacted mat; at 3 inches thick it will cover about 1,100 ft². Running this check on every quote takes thirty seconds and catches both over-quoting and the occasional decimal slip before the truck rolls.

Both directions of the conversion at the four common states. Tons per yd³ = density × 27 ÷ 2,000.
Density stateUnit weightPer cubic yard
Compacted hot mix145 lb/ft³1.96 tons13.8 ft³ per ton
Compacted cold mix137 lb/ft³1.85 tons14.6 ft³ per ton
Compacted millings122 lb/ft³1.65 tons16.4 ft³ per ton
Loose hot mix117 lb/ft³1.58 tons17.1 ft³ per ton

Worked example: reconciling a delivery

Worked example

Your takeoff says 12 yd³ of compacted hot mix; the supplier delivered and billed 25 tons. Is the invoice defensible?

  1. 1

    Takeoff volume in cubic feet

    12 × 27 = 324 ft³

  2. 2

    Takeoff weight

    324 × 145 ÷ 2,000 = 23.5 tons

  3. 3

    Delivered volume

    25 × 13.8 = 345 ft³ = 12.8 yd³

  4. 4

    Difference

    25 ÷ 23.5 = 1.064 → 6.4% over takeoff

Result: The invoice is sound — 6.4% over the geometric takeoff sits inside a normal 5–10% waste and yield allowance.

Frequently asked questions

Related guides

Sources & references

  1. [1]ASTM D2726: Bulk Specific Gravity of Compacted Asphalt Mixtures ASTM International, 2021
  2. [2]MS-4: The Asphalt Handbook, 7th ed. Asphalt Institute, 2007