Convert area to tons of gravel, stone, sand, soil or mulch from square feet and depth using typical densities, or find the area a given tonnage covers.

Typical loose bulk densities; moisture and compaction change them. Use your supplier’s density for an exact figure.

Optional settings
Blank means zero. A mass allowance, not a compaction prediction.

Blank omits cost. Uses 2,000 lb per short ton.

Area to Tons Formula

The following formula is used to calculate the total tons of material needed:

Total Tons = (Area ร— (Depth / 12) ร— Material Density) / 2000

Variables:

  • Area is the surface area to be covered (square feet)
  • Depth is the thickness or depth of the material layer (inches)
  • Material Density is the density of the material (pounds per cubic foot)
  • Total Tons is the mass before any extra allowance, in US short tons (2,000 lb each)

For US short tons, multiply area by depth in feet and bulk density in pounds per cubic foot, then divide by 2,000. Multiply by (1 + allowance/100) when an extra mass allowance is entered. Metric tonnes and long tons have different definitions. Confirm density and allowance with your supplier; the example material values are assumptions, not product specifications.

Area to Short Tons Conversion Table (Depth = 2 in, ฯ = 100 lb/ftยณ)
Area (sq ft) Short Tons
500.417
750.625
1000.833
1501.250
2001.667
2502.083
3002.500
4003.333
5004.167
6005.000
7506.250
9007.500
10008.333
120010.000
150012.500
180015.000
200016.667
250020.833
300025.000
400033.333
* Rounded to 3 decimals. Assumes depth = 2 in and material density ฯ = 100 lb/ftยณ (an illustrative assumed density). Formula: short tons = area ร— depth(in) ร— ฯ รท 24000. 1 short ton = 2000 lb.

What is the Area to Tons Calculation?

The area to tons calculation is a method used to estimate the total weight of a material that is needed to cover a specific area to a certain depth. This calculation is particularly useful in construction and landscaping where materials such as gravel, sand, or soil are measured in tons and need to be spread over a surface area.

How to Calculate Area to Tons?

The following steps outline how to calculate the total tons of material needed:

  1. First, determine the area to be covered (A) in square feet.
  2. Next, determine the desired depth (D) of the material in inches.
  3. Then, determine the material density (MD) in pounds per cubic foot.
  4. Use the formula to calculate the total tons: Total Tons = (A * (D / 12) * MD) / 2000.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Area (A) = 500 square feet

Depth (D) = 3 inches

Material Density (MD) = 100 lbs/cubic foot