Sand Calculator — tons, cubic yards and bags

Enter your area and depth to get cubic yards, short tons and bag counts, and choose whether the sand is loose or compacted.

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Advanced: density, price and truck capacity
lb/ft³

Leave blank to use our sourced range:

Sand is sold by the cubic yard in bulk, by the bag for small jobs, and by the ton from some suppliers. This calculator converts between all three, so you can compare a bulk quote with a pallet of bags.

The densities come from the AASHTO LRFD unit weight table: 100 lb/ft³ for loose sand and 120 lb/ft³ once compacted. AASHTO groups loose sand, silt and gravel into a single row and compacted sand, silt and clay into another — that is the standard's own convention, not a gap in our research, and we say so on the page rather than quietly inventing separate figures.

One thing we deliberately do not do: we do not claim a separate density for mason sand or concrete sand. We looked, and no authoritative source separates them. If your supplier quotes a figure for the exact product, that beats any published average.

A worked example you can check by hand

A 20 ft × 10 ft area at 2 in deep, with a 5% waste allowance:

Area200 ft² (20 ft × 10 ft)
Depth2 in = 0.1667 ft
Volume (before waste)33.3333 ft³
Waste allowance5%
Volume (with waste)35 ft³ = 1.2963 yd³
Density used100 / 100 / 100 lb/ft³ (low / typical / high)
Weight (low)3,500 lb = 1.75 short tons
Weight (typical)3,500 lb = 1.75 short tons
Weight (high)3,500 lb = 1.75 short tons

How we calculate this — and every number we used

We do not use a hidden "magic number". Here is the entire calculation:

  1. volume = area × depth
  2. volume_with_waste = volume × (1 + waste%)
  3. weight = volume_with_waste × density

Why a range, not one number? Bulk material density changes with moisture, gradation and compaction. Publishing a single figure would be falsely precise, so we publish the range our sources support — and we show you exactly where each number comes from.

Why you can pick the state. The same material weighs very different amounts loose, in place, or compacted — WisDOT measured volume changes of 27–60% on compaction alone. Most calculators hide this behind one number. We let you choose.

Sand — loose (as delivered, uncompacted)

Stateloose, uncompacted
Moisture basisas-delivered
Density (low / typical / high) 100 / 100 / 100 lb/ft³ = 1.35 / 1.35 / 1.35 short ton/yd³
Last reviewed2026-09-13

How we chose the typical value. AASHTO LRFD Table 3.5.1-1 gives 0.100 kcf (= 100 lb/ft³ = 1.35 short ton/yd³) for 'Loose Sand, Silt or Gravel'. Note that AASHTO groups loose sand, silt and gravel into one row, so loose sand and loose gravel share this figure by the standard's own convention. Independent cross-check: SAKRETE's data sheet gives a 50 lb bag as approximately 0.5 ft³, which is exactly 100 lb/ft³ — an independent manufacturer figure landing on the AASHTO value.

Limits of this constant

  • AASHTO publishes these as 'traditional unit weights' and states in C3.5.1 that the unit weight of granular materials depends on the degree of compaction and water content. They are design nominal values, not measured statistics.
  • This is the loose/as-delivered figure. Once vibrated or compacted, sand reaches about 120 lb/ft³ — switch the state selector to see that.
  • AASHTO does not distinguish dry, mason or concrete sand. We found no authoritative figure separating those grades, so we do not pretend to.

Sources

Sand — compacted (vibrated or rolled)

Statecompacted
Moisture basisas-measured by the source
Density (low / typical / high) 120 / 120 / 120 lb/ft³ = 1.62 / 1.62 / 1.62 short ton/yd³
Last reviewed2026-09-13

How we chose the typical value. AASHTO LRFD Table 3.5.1-1 gives 0.120 kcf (= 120 lb/ft³ = 1.62 short ton/yd³) for 'Compacted Sand, Silt or Clay'.

Single-source constant. We could only retrieve one authoritative published figure for this material, so the range may understate real-world variation. Confirm the figure with your supplier before ordering.

Limits of this constant

  • AASHTO publishes these as 'traditional unit weights' and states in C3.5.1 that the unit weight of granular materials depends on the degree of compaction and water content. They are design nominal values, not measured statistics.
  • AASHTO's compacted row covers sand, silt AND clay together. Heavy clay can differ substantially.
  • Do not use this for bedding sand under pavers, which is screeded rather than compacted.

Source

Assumptions and limits

This calculator is only valid under these assumptions. If any of them do not match your project, treat the result as a rough guide and get a quote from your supplier.

Frequently asked questions

How much does a cubic yard of sand weigh?

About 1.35 short tons per cubic yard loose, and about 1.62 short tons per cubic yard compacted. That is 100 and 120 lb/ft³ respectively, from the AASHTO LRFD unit weight table.

How many bags of sand are in a cubic yard?

A cubic yard is 27 cubic feet, so it takes 54 bags of 0.5 ft³, 36 bags of 0.75 ft³, 27 bags of 1 ft³ or 14 bags of 2 ft³ — before any waste allowance. The calculator shows all of these for your volume.

How much sand for a sandbox?

Most sandboxes are filled to about half their depth so the sand stays inside. For a 5 ft by 5 ft sandbox filled 6 inches deep, you need about 12.5 cubic feet, which is under half a cubic yard. The calculator lets you enter your own dimensions.

Does this work for masonry or concrete sand?

The volume is right, but the tonnage is an estimate: we could not find an authoritative density that separates mason sand from concrete sand, so we use the general loose and compacted figures. For a concrete mix, the proportions matter far more than the bulk density, and those are a mix design question, not a density question.

How deep should paver bedding sand be?

About 1 inch, screeded level, on top of a compacted base. Deeper bedding allows the pavers to shift. Note that bedding sand is screeded rather than compacted, so our compacted figure slightly over-estimates it.