ThisCalculator

Everyday

Tons to Cubic Yards Calculator for Aggregate

Updated · Standard formula, shown below

The calculator for this page is switched off while it is checked. The formula is below, and the worked example in the article shows how to use it by hand.

Tons to Cubic Yards Calculator for Aggregate

This calculator converts a weight of aggregate in tons to its volume in cubic yards, and vice versa. You enter the weight in tons (short tons, US) or the volume in cubic yards, plus the material’s density, and it returns the corresponding volume or weight. The result is based on the standard formula: volume (cubic yards) = weight (pounds) ÷ density (pounds per cubic yard).

Formula

The core relationship is: Weight (lb) = Volume (yd³) × Density (lb/yd³). To convert tons to cubic yards, you first convert tons to pounds (1 short ton = 2,000 lb) and then divide by the material’s density in pounds per cubic yard. In symbols:

V (yd³) = (W (tons) × 2000) / D (lb/yd³)

Where:

  • V = volume in cubic yards (yd³)
  • W = weight in short tons (US tons, 2,000 lb each)
  • D = bulk density of the aggregate in pounds per cubic yard (lb/yd³). Typical values: crushed stone ~2,700, sand ~2,700, gravel ~2,800, limestone ~2,600, topsoil ~2,200, asphalt ~2,900.

If you start with cubic yards and want tons, rearrange to: W (tons) = V (yd³) × D (lb/yd³) / 2000.

Worked Example

Using the calculator defaults: weight = 2 tons, material = crushed stone (density 2,700 lb/yd³).

  1. Convert tons to pounds: 2 tons × 2,000 = 4,000 lb.
  2. Divide by density: 4,000 lb ÷ 2,700 lb/yd³ = 1.481 yd³.
  3. Rounded to two decimals: 1.48 cubic yards.

The calculator returns 1.48, matching this step-by-step result.

Why Density Matters So Much

Aggregate is not a fixed substance—it’s a category of granular materials (crushed rock, gravel, sand, slag, recycled concrete) with a wide range of densities. The same weight of two different aggregates can occupy noticeably different volumes. For instance, 1 ton of lightweight expanded clay (density ~1,500 lb/yd³) takes up 1.33 yd³, while 1 ton of dense basalt (density ~3,000 lb/yd³) takes only 0.67 yd³. Using a generic “gravel� density when you actually have sand can shift your volume by 5–10%, which on a large order could mean an extra truckload or a shortfall.

Also note the difference between bulk density and particle density. Bulk density includes the air spaces between particles—it’s the figure you need for volume calculations. Particle density (the solid rock itself) is higher and irrelevant here. Most supplier density tables refer to bulk density at a typical moisture level.

How to Choose the Right Density

If you don’t have a specific number, start with these typical bulk densities (lb/yd³):

  • Crushed stone (¼� to 1½�): 2,500–2,700
  • Pea gravel / round gravel: 2,800–2,900
  • Concrete sand / masonry sand: 2,600–2,800
  • Limestone (crushed): 2,500–2,700
  • Topsoil (dry, screened): 2,000–2,200
  • Recycled asphalt millings: 2,800–3,000

For more accuracy, check the supplier’s safety data sheet or ask for the “unit weight� of the specific product. If you have the density in kg/m³, convert to lb/yd³ by multiplying by 1.6856 (since 1 kg/m³ ≈ 1.6856 lb/yd³). For example, 1,600 kg/m³ × 1.6856 = 2,697 lb/yd³.

Common Mistakes and How to Avoid Them

The most frequent error is mixing up short tons (2,000 lb) and metric tons (2,204.6 lb). This calculator uses short tons, the standard in US construction. If your weight is in metric tonnes, multiply by 1.1023 to get short tons first.

Another common mistake is using the density of the solid rock (e.g., 4,000 lb/yd³ for granite) instead of the bulk density of the crushed material (around 2,700 lb/yd³). That mistake cuts your calculated volume by roughly a third—enough to leave you short on a driveway.

Rounding too early can also cause issues. Carry at least three significant figures through your calculation, then round the final volume to two decimals. In the example, 4,000 ÷ 2,700 = 1.48148…, which rounds to 1.48 yd³, not 1.5.

When to Use This Calculator (and When Not To)

Use it when you need to:

  • Order aggregate by weight but need to plan for truck volume or storage space.
  • Convert a weight-based quote (in tons) to a volume estimate for a project.
  • Check whether a supplier’s volume estimate matches the weight you’re being charged for.

Do not use it for:

  • Materials with significant moisture content (wet sand or soil can weigh 10–20% more per cubic yard than dry).
  • Compacted materials—compaction increases density, so the same weight occupies less volume.
  • Exact engineering quantities—always confirm with a lab test or supplier data for critical projects.

For a rough rule of thumb, 1 ton of typical crushed stone is about 0.74 cubic yards. But that depends entirely on the density, so use the calculator rather than a fixed conversion factor.

Practical Tips for Ordering Aggregate

When you order by the ton, you pay for weight; when you order by the cubic yard, you pay for volume. A yard of gravel is not the same as a yard of sand in weight, so comparing prices between suppliers requires converting to a common unit.

Also, remember that delivery trucks have both weight and volume limits. A standard dump truck might carry 10–14 cubic yards of aggregate, but the weight limit (often 20–25 tons on public roads) is usually reached first for dense materials. Knowing both your required volume and weight helps you avoid ordering more than a truck can legally carry.

Finally, always order a small surplus (5–10%) to account for settling, compaction, and irregular shapes in the area you’re filling. It’s cheaper to have a little extra than to pay for a second delivery.

Frequently Asked Questions

How many cubic yards are in a ton of gravel?

For typical gravel with a bulk density of 2,800 lb/yd³, one short ton (2,000 lb) equals 2,000 ÷ 2,800 = 0.71 cubic yards. For crushed stone at 2,700 lb/yd³, it’s 0.74 cubic yards. Use the calculator with your material’s actual density for a precise number.

What is the difference between a short ton and a metric ton?

A short ton (used in the US) is 2,000 pounds. A metric tonne (tonne) is 1,000 kilograms, which equals about 2,204.6 pounds. If you have a weight in metric tonnes, multiply by 1.1023 to get short tons before using this calculator.

Does moisture affect the conversion?

Yes. Wet sand or soil can weigh 10–20% more per cubic yard than dry material because water fills the pore spaces. If your aggregate is damp, use a higher density value (or ask the supplier for the wet density) to avoid underestimating the volume.

Can I use this calculator for recycled concrete or asphalt?

Yes, but use the appropriate density. Recycled concrete aggregate typically has a bulk density around 2,400–2,700 lb/yd³, and recycled asphalt millings around 2,800–3,000 lb/yd³. These can vary with the crushing process, so confirm with the supplier if accuracy is critical.

Why does my supplier sell by the cubic yard but I need tons?

Suppliers often sell by volume because it’s easier to measure in the truck. To compare prices, convert your required weight to volume using this calculator. For example, if you need 5 tons of crushed stone (2,700 lb/yd³), that’s 5 × 2000 / 2700 = 3.70 cubic yards.

Is this calculator accurate for all types of aggregate?

It’s accurate to the density you enter. The calculator uses the standard formula, so its accuracy depends entirely on the density value. For critical projects, get the exact bulk density from a lab test or the supplier’s technical data sheet.

Related

Formula used
in t | Weight | tons (US) | 2 | 0
sel d | Material density | Crushed stone=2700, Sand=2700, Gravel=2800, Limestone=2600, Topsoil=2200, Asphalt=2900 | 2700
out yd | Volume | cubic yards | t * 2000 / d | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.