Tons = (Length in feet × Width in feet × Depth in inches ÷ 12) × 145 ÷ 2,000. This is the master equation of the paving industry. Here is exactly what each number means.
If you ask a paving foreman how much asphalt he needs for a patch, he might eyeball it and say "about a ton and a half." But if you ask the estimator back at the office who is buying the material from the plant, he is using a very specific math equation.
Let's break the formula down into its core components so you understand exactly what the math is doing.
Before you can figure out the weight of the asphalt, you have to figure out the volume of the space you are trying to fill. Volume is always measured in Cubic Feet.
Multiply them together (100 × 12 × 0.25) and you have 300 cubic feet of empty space that needs filling.
Now we need to convert that volume into weight. How heavy is a 1-foot by 1-foot cube of asphalt?
The industry standard for compacted Hot Mix Asphalt (HMA) is 145 pounds per cubic foot. (Some specific mixes might be 142 or 148, but 145 is the universal estimating standard). When you multiply your 300 cubic feet by 145, you get 43,500 pounds.
Asphalt plants do not sell material by the pound; they sell it by the short ton. A US short ton is 2,000 pounds. Dividing 43,500 by 2,000 gives you 21.75 tons.
I see the same math errors happen constantly on job sites:
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