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.
Contents
The conversion 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.
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.
| Density state | Unit weight | Per cubic yard |
|---|---|---|
| Compacted hot mix | 145 lb/ft³ | 1.96 tons13.8 ft³ per ton |
| Compacted cold mix | 137 lb/ft³ | 1.85 tons14.6 ft³ per ton |
| Compacted millings | 122 lb/ft³ | 1.65 tons16.4 ft³ per ton |
| Loose hot mix | 117 lb/ft³ | 1.58 tons17.1 ft³ per ton |
Worked example: reconciling a delivery
Your takeoff says 12 yd³ of compacted hot mix; the supplier delivered and billed 25 tons. Is the invoice defensible?
- 1
Takeoff volume in cubic feet
12 × 27 = 324 ft³
- 2
Takeoff weight
324 × 145 ÷ 2,000 = 23.5 tons
- 3
Delivered volume
25 × 13.8 = 345 ft³ = 12.8 yd³
- 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]ASTM D2726: Bulk Specific Gravity of Compacted Asphalt Mixtures — ASTM International, 2021
- [2]MS-4: The Asphalt Handbook, 7th ed. — Asphalt Institute, 2007