Sand Calculator

Quick answer

The sand calculator works out how much sand you need from the area and depth, in cubic yards, cubic metres, tons and tonnes, and estimates the cost from a price per ton or per cubic yard.

%
$
Area
—
Volume needed
—
Weight needed
—
Estimated cost
$ —

Sand goes under pavers, into concrete and mortar, into sandboxes and onto lawns. It is sold by the bag, the cubic yard or the ton, and its weight depends heavily on moisture: damp sand can be 20% heavier than dry sand. This calculator estimates the volume and weight for rectangular, round and triangular areas and prices the order.

How to use the Sand Calculator

  1. Material
  2. Custom density
  3. Area shape
  4. Length (or diameter)
  5. Width
  6. Depth
  7. Extra for waste and compaction
  8. Priced by
  9. Price per weight
  10. Price per volume
  11. Every result field is editable: type into Volume needed or any other result and Depth plus every other field update to match.

Results update as you type, and every field accepts the units shown in its menu.

How it works

The calculator finds the area of your rectangle, circle or triangle, multiplies it by the depth and adds the waste allowance to get the volume. Multiplying by the density of the chosen material gives the weight, and the price you enter turns either one into a cost.

Densities used

Material kg/m³ lb/ft³ US tons per yd³
Sand, dry 1,602 100.0 1.35
Sand, wet 1,922 120.0 1.62
Mason / play sand 1,550 96.8 1.31
Concrete sand 1,650 103.0 1.39
Sand with gravel, dry 1,650 103.0 1.39
Sand with gravel, wet 2,020 126.1 1.70

Typical sand depths

Job Depth
Paver bedding 1 in (25 mm)
Sandbox 6–12 in
Under an above-ground pool 2 in
Lawn top-dressing ¼–½ in
Pipe bedding 4–6 in

Good to know

A U.S. (short) ton is 2,000 lb; a metric tonne is 1,000 kg (2,204.6 lb). Quarries in the U.S. sell by the short ton, so check which one your quote uses.

Tips for an accurate estimate

  • Sketch the job and split irregular areas into rectangles, circles and triangles before you measure.
  • Add a waste allowance – typically 5–10% for simple layouts and 15–20% for diagonal, curved or heavily cut work.
  • Check the coverage or yield printed on the product, because sizes and densities vary between manufacturers.
  • Buy all units of a finished material (tile, brick, siding) from the same batch so colours match, and keep a few spares for repairs.
  • Confirm local prices – quarry, lumber and steel prices vary widely by region and season.

Common mistakes to avoid

  • Ordering exactly the calculated amount with no allowance for breakage, offcuts and settlement.
  • Forgetting to subtract doors, windows and other openings – or subtracting small ones that still need cutting around.
  • Confusing US short tons (2,000 lb) with metric tonnes (1,000 kg) when comparing quotes.

Inputs explained

Field What to enter
Material Choose one: Sand, dry, Sand, wet, Mason / play sand, Concrete sand …
Custom density Units: kg/m³, lb/ft³, g/cm³, lb/yd³
Area shape Choose one: Rectangle / square, Circle (length = diameter), Triangle (length = base, width = height)
Length (or diameter) Units: ft, m, in, yd, cm
Width Units: ft, m, in, yd, cm
Depth Units: in, cm, mm, ft, m
Extra for waste and compaction In %
Priced by Choose one: Weight (per ton / tonne), Volume (per yd³ / m³)
Price per weight Units: /US ton, /t, /lb, /kg
Price per volume Units: /yd³, /m³, /ft³

Formula

Volume = area × depth × (1 + waste)Weight = volume × densityCost = weight × price per ton (or volume × price per yd³)

Worked example

Inputs — Material: Sand, dry; Custom density: 1,600 kg/m³; Area shape: Rectangle / square; Length (or diameter): 10 ft; Width: 8 ft; Depth: 2 in; Extra for waste and compaction: 10 %; Priced by: Weight (per ton / tonne); Price per weight: $45 /US ton; Price per volume: $60 /yd³.
Results — Area = 80 ft²; Volume needed = 0.543 yd³; Weight needed = 0.733 US ton; Estimated cost = $33.00.

Frequently asked questions

How much does a cubic yard of sand weigh?

About 2,700 lb (1.35 US tons) when dry and up to 3,200 lb when wet.

How much sand do I need under pavers?

A 1-in (25 mm) screeded bedding layer is standard over 4–6 in of compacted gravel.

How many bags of play sand fill a sandbox?

A 50 lb bag is about 0.5 ft³; a 4 × 4 ft box filled 6 in deep needs 8 ft³, about 16 bags.

What is the difference between concrete sand and mason sand?

Concrete sand is coarser and used in concrete and paver bedding; mason sand is finer and screened for mortar and play sand.

What formula does the Sand Calculator use?

Volume = area × depth × (1 + waste).

Sources

  1. The Engineering ToolBox – Bulk densities of materials

Cite this calculator

Speedy Calculator. (2026). Sand Calculator. Speedy Calculator. https://speedycalculator.com/calculators/construction/sand/