How to Calculate Asphalt Tonnage (Formula, Density, and Worked Examples)
Tonnage is area times thickness times density, divided by 2,000. Here is that formula in square feet, square yards, cubic yards and metric units, with the density table and the conversions people actually search for.
To calculate asphalt tonnage you need three numbers and one division: the area in square feet, the compacted thickness in feet, and the density of the mix in pounds per cubic foot, divided by 2,000 pounds per ton. That is the whole method, and every variation — square feet to tons, cubic yards to tons, square yards to tons, metric tonnes — is the same method with a unit conversion at the start or the end. A 1,000 square foot area at 2 inches thick needs 12.08 tons before waste. Ten cubic yards of compacted asphalt weigh 19.58 tons. One hundred square metres at 50 millimetres thick weigh 11.61 metric tonnes. This guide derives the formula, explains why density is not a single fixed number, works the conversions step by step, and lists the mistakes that make an otherwise correct calculation wrong.
- Tons equal area in square feet times thickness in feet times 145 pounds per cubic foot, divided by 2,000 pounds per ton.
- One cubic yard of compacted asphalt at 145 pounds per cubic foot weighs 1.96 tons, and one ton covers 82.8 square feet at 2 inches or 55.2 square feet at 3 inches.
- Always use compacted thickness and the plant’s density for your mix; loose depth and a guessed density are the two most common sources of error.
The asphalt tonnage formula
The asphalt tonnage formula is short enough to write on the back of an order slip, and it is worth writing it there, because every asphalt calculator, every plant ticket and every paving estimate is doing the same arithmetic. In imperial units: tons equals length in feet times width in feet times thickness in feet times density in pounds per cubic foot, divided by 2,000. The division by 2,000 is there because a US ton, also called a short ton, is 2,000 pounds. If you are working in metric tonnes, the equivalent is: tonnes equal area in square metres times thickness in metres times density in kilograms per cubic metre, divided by 1,000. Both versions assume the thickness is the finished, compacted thickness, and both assume a uniform thickness across the whole area. If the thickness varies, split the area into sections of uniform thickness, calculate each section, and add the sections, exactly as you would for an irregular driveway shape.
Work one example slowly, because the unit conversions are where people slip. Take 1,000 square feet at 2 inches. Two inches is 2 divided by 12, which is 0.1667 feet. Volume is 1,000 times 0.1667, which is 166.67 cubic feet. Weight is 166.67 times 145, which is 24,167 pounds. Tons are 24,167 divided by 2,000, which is 12.08 tons. That is the net weight, before waste. Add 5 percent waste and the order is 12.69 tons. Add 10 percent waste and it is 13.29 tons. Notice where rounding belongs: keep full precision through the calculation and round only the final order, because rounding the thickness to 0.17 feet or the volume to 167 cubic feet early on shifts the answer by a few hundredths of a ton on small jobs and by more on large ones. The asphalt tonnage calculator keeps full precision internally and rounds only what it displays, which is the right habit to copy if you calculate by hand or in a spreadsheet.
Asphalt density: why 145, and when it changes
Density is the only number in the formula you cannot measure with a tape, and it is the number most worth getting right. The standard working figure for compacted hot mix asphalt is 145 pounds per cubic foot, which is about 2,322 kilograms per cubic metre and a specific gravity of about 2.32. That figure is a good starting point, but it is not a law of nature: it varies with the mix, the aggregate and the binder content. Surface mixes typically run 145 to 148 pounds per cubic foot, binder mixes 142 to 147, base mixes 140 to 145, stone-matrix asphalt 148 to 155, warm mix around 142, and high recycled-asphalt mixes around 140. The plant that supplies your mix knows its density, and if it quotes one, use that figure instead of 145. The effect is a few percent either way: at 148 pounds per cubic foot, the 1,000 square foot, 2-inch example is 12.33 tons instead of 12.08, a difference of 0.25 tons. At 140 it is 11.67 tons, a difference of 0.41 tons the other way. Neither difference will ruin a job on its own, but on a large paving job the same percentage is worth many tons, which is why large jobs should never be priced on a guessed density.
| Mix type | Density (lb/ft3) | Density (kg/m3) | Tons per cubic yard |
|---|---|---|---|
| Surface mix | 145–148 | 2,322–2,370 | 1.96–2.00 |
| Binder mix | 142–147 | 2,274–2,354 | 1.92–1.98 |
| Base mix | 140–145 | 2,242–2,322 | 1.89–1.96 |
| Stone-matrix asphalt (SMA) | 148–155 | 2,370–2,483 | 2.00–2.09 |
| Warm mix | ~142 | ~2,274 | ~1.92 |
| High-RAP mix | ~140 | ~2,242 | ~1.89 |
The tons-per-cubic-yard column follows directly from the density, because one cubic yard is 27 cubic feet. At 145 pounds per cubic foot, one cubic yard weighs 145 times 27, which is 3,915 pounds, divided by 2,000, which is 1.9575 tons, rounded to 1.96. That single conversion is the bridge between the two ways asphalt is talked about: plants that sell by the ton and crews that think in cubic yards. A related shortcut used in the field is the yield factor in pounds per square-yard-inch: at 145 pounds per cubic foot, one square yard at one inch thick weighs 108.75 pounds, because one square yard is 9 square feet and one inch is one twelfth of a foot, so 9 times one twelfth times 145 is 108.75. State departments of transportation round that to 110 pounds per square-yard-inch, which runs about 1 percent generous. Either figure gives the same method: tons equal area in square yards times thickness in inches times the yield factor, divided by 2,000. For 100 square yards at 3 inches using 108.75, that is 100 times 3 times 108.75 divided by 2,000, which is 16.31 tons, and the square-foot method on the same area, 900 square feet times 0.25 feet times 145 divided by 2,000, is also 16.31 tons. Two routes, one answer, which is a useful check on any calculation.
Square feet, square yards and cubic yards to tons
Most tonnage questions arrive in a different unit from the one the formula wants, so the conversions matter as much as the formula. Square feet to tons is the base case, already worked above: area times thickness in feet times 145, divided by 2,000. Square yards to tons is the same, with one extra step: multiply square yards by 9 to get square feet, then proceed as before. Cubic yards to tons skips the area entirely: multiply cubic yards by 27 to get cubic feet, then by 145 and divide by 2,000, or more simply multiply cubic yards by 1.9575. Ten cubic yards is therefore 19.58 tons, and twenty tons is 20 divided by 1.9575, which is 10.22 cubic yards the other way. Tons to cubic yards is the reverse of that division, and it is the conversion to use when a ticket or a truck capacity is quoted in cubic yards and your order is in tons. Cubic feet to tons is the simplest of all: cubic feet times 145 divided by 2,000, so 500 cubic feet is 36.25 tons. The table below collects the conversions at the standard density, so you can check a result without re-deriving it each time.
| Conversion at 145 lb/ft3 | Result |
|---|---|
| 1 cubic yard to tons | 1.96 tons |
| 1 ton to cubic yards | 0.51 cubic yards |
| 1 ton to cubic feet | 13.79 cubic feet |
| 1 cubic foot to tons | 0.0725 tons |
| 1 ton at 2 in thick covers | 82.8 square feet |
| 1 ton at 3 in thick covers | 55.2 square feet |
| 1 ton at 4 in thick covers | 41.4 square feet |
Several search phrases describe the same conversions, so they are worth naming plainly. If you want to know how to calculate tons of asphalt, or how to calculate asphalt quantity for a whole job, the method is the same: this asphalt formula, written as one asphalt calculation formula, is area times thickness times density divided by 2,000, and an asphalt weight calculator, an asphalt tons calculator or a tons of asphalt calculator all run that same calculation. For asphalt tons to cubic yards, divide tons by 1.9575; for cubic yards of asphalt to tons, multiply cubic yards by 1.9575; and the answer to how many tons of asphalt in a cubic yard is 1.96 tons at standard density. The square feet to tons asphalt conversion is area times thickness in feet times 145 divided by 2,000, and the shorthand forms sf to tons asphalt and cf to tons asphalt mean the same two conversions, from square feet and from cubic feet respectively. Before weight comes volume, which is why the first step is also an asphalt volume calculator step, and the yield-factor route makes the same tool an asphalt yield calculator: tons equal square yards times inches times 108.75 divided by 2,000. Whether you call it how to calculate tonnage of asphalt or calculating tons of asphalt, the arithmetic does not change.
The coverage rows in that table answer the square-feet-to-tons question backwards, which is how many people actually ask it: how much ground does a ton cover? One ton is 2,000 pounds, divided by 145 pounds per cubic foot, which is 13.79 cubic feet of asphalt. Spread that volume at 2 inches, which is one sixth of a foot, and it covers 13.79 times 6, which is 82.8 square feet. At 3 inches, one quarter of a foot, it covers 13.79 times 4, which is 55.2 square feet. At 4 inches it covers 41.4 square feet. Those three numbers are worth memorising, because they let you sanity-check any tonnage figure in your head: a 500 square foot area at 3 inches should be about 500 divided by 55.2, which is about 9.06 tons, and the full formula gives 9.06 tons exactly, before waste. If a calculator or a quote gives you something far from that, one of the inputs is wrong, and the coverage check will tell you which order of magnitude to look in.
Metric tonnage: square metres and millimetres to tonnes
Metric tonnage follows the same method with metric units, and the only trap is mixing the two systems halfway through. The formula is: tonnes equal area in square metres times thickness in metres times density in kilograms per cubic metre, divided by 1,000. Thickness in millimetres must be divided by 1,000 to get metres, not by 100 or by 12. A 100 square metre area at 50 millimetres is 100 times 0.05, which is 5 cubic metres, times 2,322 kilograms per cubic metre, which is 11,610 kilograms, divided by 1,000, which is 11.61 metric tonnes. A road example shows the scale: 100 metres long by 7 metres wide at 50 millimetres is 700 square metres, 35 cubic metres, 81,270 kilograms, 81.27 tonnes net, and 85.33 tonnes with 5 percent waste. A metric tonne is 1,000 kilograms, and it is not the same as a US ton of 2,000 pounds, which is 907.18 kilograms, so a figure in tonnes is about 10 percent larger in count than the same weight in US tons: 81.27 tonnes is 89.58 US tons. If a plant quotes in tonnes and your calculator is set to US tons, or the other way round, the order will be wrong by that 10 percent even if every other number is right, so check the unit on the ticket before you check anything else. The hub calculator reports both US tons and metric tonnes side by side for exactly this reason.
One more metric conversion is worth stating plainly, because it appears in search questions constantly: square metres to tonnes at a given thickness is area times thickness in metres times 2.322, since density divided by 1,000 is 2.322 tonnes per cubic metre. At 50 millimetres, that is area times 0.05 times 2.322, which is area times 0.1161 tonnes per square metre. A 21 square metre driveway pad at 75 millimetres is therefore 21 times 0.075 times 2.322, which is 3.66 tonnes net and 3.84 tonnes with 5 percent waste. Keep that 0.1161 figure for 50 millimetres in mind and you can estimate any metric job in your head to within a few percent, then confirm it with the calculator before ordering.
Mistakes that break an otherwise correct calculation
Five mistakes account for most wrong tonnage figures, and all five are input mistakes, not arithmetic mistakes. The first is using loose thickness instead of compacted thickness. Hot mix compacts under the roller, so a loose depth of 4 inches may finish at 3 inches, and an order based on 4 inches over-orders by a third. Always ask whether a quoted depth is loose or compacted, and put the compacted figure in the formula. The second is confusing square feet and square yards. One square yard is 9 square feet, so an area entered as square yards in a square-foot formula under-orders by a factor of 9, and the reverse over-orders by the same factor. The third is forgetting waste, or adding it twice: waste belongs once, at the end, as a percentage of the net weight, not inside the area or the thickness. The fourth is using the wrong ton. A US ton is 2,000 pounds, a metric tonne is 1,000 kilograms or 2,204.62 pounds, and a long ton is 2,240 pounds. A figure that does not say which ton it is has not finished saying anything. The fifth is treating density as exact when it is a range. If you have no plant figure, 145 pounds per cubic foot is a sound working figure, but on a large job the difference between 140 and 148 is about 6 percent of the order, which is worth a phone call to the plant. Check those five, in that order, and a tonnage figure that still looks wrong is probably a measurement error, which means going back to the tape rather than to the calculator.
Run your own tonnage
Enter length, width and compacted thickness in feet, yards or metres, set the density for your mix, and get area, volume, net tons and the order with waste — free and instant.
Open the Asphalt CalculatorFrequently asked questions
How do you calculate asphalt tonnage?
Multiply area in square feet by compacted thickness in feet, multiply by density in pounds per cubic foot (145 for compacted hot mix asphalt), and divide by 2,000 pounds per ton. For example, 1,000 square feet at 2 inches is 1,000 times 0.1667 times 145 divided by 2,000, which is 12.08 tons net, and 12.69 tons with a 5 percent waste allowance.
How many tons of asphalt are in a cubic yard?
At 145 pounds per cubic foot, one cubic yard weighs 3,915 pounds, which is 1.96 tons. Ten cubic yards is therefore 19.58 tons. The reverse is also useful: one ton is 0.51 cubic yards, so 20 tons is 10.22 cubic yards.
How many square feet does a ton of asphalt cover?
At 145 pounds per cubic foot, one ton covers 82.8 square feet at 2 inches thick, 55.2 square feet at 3 inches, and 41.4 square feet at 4 inches. Those figures are before waste; with 5 percent waste the coverage per ordered ton is slightly less.
What density should I use for asphalt?
Use 145 pounds per cubic foot (about 2,322 kilograms per cubic metre) as the standard working figure for compacted hot mix asphalt, and replace it with the plant’s figure for your actual mix if one is quoted. Surface mixes run 145 to 148, binder mixes 142 to 147, base mixes 140 to 145, and stone-matrix asphalt 148 to 155 pounds per cubic foot.
How do I convert square feet to tons of asphalt?
Multiply square feet by thickness in feet, multiply by 145, and divide by 2,000. For example, 500 square feet at 3 inches is 500 times 0.25 times 145 divided by 2,000, which is 9.06 tons net. Add 5 to 10 percent waste before ordering.
How many tonnes is 100 square metres of asphalt at 50 mm?
11.61 metric tonnes net. The volume is 100 times 0.05, which is 5 cubic metres, times 2,322 kilograms per cubic metre, which is 11,610 kilograms, or 11.61 tonnes. With 5 percent waste the order is 12.19 tonnes.
Sources: Asphalt Calculator hub (CalcFolk), including its verified density of 145 pounds per cubic foot for compacted hot mix asphalt, mix density ranges and the Michigan DOT yield factor of 110 pounds per square-yard-inch, as cited on the hub. Conversion factors are arithmetic identities (1 cubic yard = 27 cubic feet, 1 US ton = 2,000 pounds, 1 metric tonne = 1,000 kilograms). This article is general information, not paving advice for a specific site.
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