Calculate how much sand you need to fill an area: enter length, width and depth to get cubic yards or m³, tons and bags, using a typical sand density.

Typical dry sand ≈ 1,600 kg/m³ (about 100 lb/ft³). Use your supplier’s value if you know it.

Typical 1.15: loose sand compacts by about 15%. Ratio = loose volume ÷ finished volume; 1 means no change.

Extra sand added to the order for spillage and uneven ground. Blank means 0%.

Bag and cost estimates
Common bags: 25 kg or 50 lb. Blank omits the bag estimate.

Optional: blank omits cost; 0 means a zero material price. Delivery and taxes are excluded.

How to Calculate Sand Filling Quantity, Coverage, and Bags

The sand filling quantity calculator estimates how much sand is needed to fill a rectangular area based on length, width, and depth. From that same geometry, you can also estimate coverage, total weight, bulk volume in cubic yards, and the number of bags required for purchase.

Core Formula

First calculate the finished compacted fill volume using compatible length units:

V = L × W × D

Let C = 1 + w/100 be the added-allowance multiplier. Apply the loose-to-finished volume ratio F and C to finished volume V, then multiply ordered loose volume Vo by loose bulk density ρl:

Vₒ = V F C
M = Vₒ ρₗ

For the imperial reference table and example below only, use dimensions in feet, density 101.8 lb/ft³, F = 1 and w = 0. These assumptions differ from the calculator's illustrative defaults of 1,600 kg/m³, F = 1.15 and 8% added allowance. Then mass in pounds is:

SFQ = L × W × D × 101.8
  • M (SFQ) = ordered sand mass; SFQ remains the mass symbol in the imperial reference example below
  • V = finished compacted fill volume; Vo = loose volume to order
  • L = fill length
  • W = fill width
  • D = fill depth
  • ρl = loose bulk density in mass per loose volume
  • F = loose volume divided by finished volume
  • w = added order allowance in percent, not a fraction of stock lost; C = 1 + w/100 is its multiplier

Why Density Matters

Two fill areas with the same dimensions can require different weights of sand if the material is dry, damp, loose, or compacted. Density is what converts a volume estimate into a weight estimate. Use a supplier or project value for loose bulk density and a matching loose-to-finished ratio. The initial values are illustrative planning assumptions; moisture, grading and compactive effort can change them.

Useful Conversion Formulas

If your depth is measured in inches but the length and width are in feet, convert the depth before calculating:

Dft = (Dᵢₙ) / (12)

For bulk delivery, convert cubic feet to cubic yards:

Yyd³ = (V) / (27)

For purchases, B is the whole number of bags to buy and b is one bag's mass. Divide required mass M by b in the same mass units and round up. Coverage mode instead reports available full-bag mass equivalents, rounded down:

B = ceil(M / b)

For US short tons when SFQ is expressed in pounds (a metric tonne is 1,000 kg):

Tₛₕₒᵣₜ = (SFQ) / (2000)

Coverage Formula

For coverage, Va is available loose volume and Ma is available mass. If mass is supplied, divide it by loose bulk density first; if loose volume is supplied, use it directly. Then divide Va by finished depth D, ratio F and allowance multiplier C. Use compatible mass, volume and length units throughout:

Vₐ = (Mₐ) / (ρₗ)
A = (Vₐ) / (D F C)

This is especially useful when planning paver bedding, sandbox fills, volleyball courts, trench backfill, or leveling layers where the depth is fixed and the available material is known.

Quick Reference for 100 Square Feet

The table below shows approximate sand needs for a 100 ft2 area using a density of 101.8 lb/ft3.

Depth Depth in Feet Volume (ft3) Volume (yd3) Approx. Weight (lb)
1 in 0.0833 8.33 0.31 848
2 in 0.1667 16.67 0.62 1,697
3 in 0.2500 25.00 0.93 2,545
4 in 0.3333 33.33 1.23 3,393

Example Calculation

Suppose the fill area is 10 ft long, 5 ft wide, and 1 ft deep.

  • Volume = 10 × 5 × 1 = 50 ft3
  • Estimated weight = 50 × 101.8 = 5,090 lb
  • Short tons = 5,090 / 2,000 = 2.545 tons
  • 50 lb bags = 5,090 / 50 = 101.8, so round up to 102 bags

How to Use the Calculator Effectively

  1. Measure the length and width of the fill area.
  2. Measure the final desired depth of sand.
  3. Choose metric or imperial dimensions and use the units shown; the calculator converts feet and inches internally.
  4. Enter or confirm the density value if you know your sand type.
  5. Read the loose order volume first, then check mass, whole bags and the unit conversions in results and calculation details. Optional bag mass or price may be left blank to omit those estimates.
  6. Purchase bag counts are already rounded up. Confirm the entered ratio and added allowance rather than applying the same compaction or extra percentage twice. A supplied price uses your currency per metric tonne; blank price means cost is unavailable, not zero.

Practical Estimating Tips

  • Use final compacted depth when the sand will be tamped or packed into place.
  • Split irregular areas into rectangles, calculate each section separately, and add the totals.
  • Order a little extra when the subgrade is uneven or when some loss during placement is expected.
  • Check supplier units before ordering, since some vendors sell by ton while others sell by cubic yard.
  • Round bulk orders carefully so the delivered quantity still covers the full area after spreading and compaction.

Common Questions

Should depth be measured before or after compaction?
Use the finished depth you want in place. If the sand will compact noticeably, order more than the uncompacted geometric estimate.
Can I use this for paver base or bedding sand?
Yes. The same volume-and-density method works for bedding layers, leveling courses, trench fills, play areas, and similar sand applications.
Why is my actual delivered weight different from the estimate?
Moisture content, particle size, compaction, and supplier-specific density all affect the final weight of a given volume.
When should I use bags instead of bulk sand?
Bags are usually better for small jobs, patching, and controlled placement. Bulk ordering is often more practical for larger fills.