Skip to content
CalculatorAtlas

Sand Calculator

Tested

Cubic yards of sand for an area.

Tested, not yet published. The formula for this calculator is implemented and passes its automated checks. This page stays non-indexable until it is reviewed and published.

ft
ft
in
Advanced options
%

Results

Enter your values and press Calculate. Results appear here.

  • • Result

Quick answer

Cubic yards of sand for an area. Enter length, width and depth / thickness and the sand calculator returns cubic yards, cubic feet and cubic metres.

Related tools: Mulch Calculator: Cubic yards of mulch for a bed. Soil Calculator: Cubic yards of soil for an area. Gravel Calculator: Cubic yards of gravel for an area.

How to use the Sand Calculator

  1. Enter length (ft) (above 0).
  2. Enter width (ft) (above 0).
  3. Enter depth / thickness (in) (above 0).
  4. Optionally, enter waste allowance (%) (between 0 and 50). It starts at 0.
  5. Press Calculate to see the result, and use Reset to start again.
Inputs of the Sand Calculator
InputWhat to enterAllowed values
LengthA number, in ft> 0
WidthA number, in ft> 0
Depth / thicknessA number, in in> 0
Waste allowance (optional)A number, in %≥ 0, ≤ 50, starts at 0

Formula and method

Formula

cubic yards = length (ft) × width (ft) × depth (in ÷ 12) ÷ 27

IEEE-754 double precision; shown to at most 6 decimal places.

27 ft³ = 1 yd³. A waste allowance is added to the total.

Worked examples

These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.

Example 1

Inputs: Length = 10; Width = 10; Depth / thickness = 4.

Results of example 1
ResultValue
Cubic yards1.2346 yd³
Cubic feet33.3333
Cubic metres0.9439

Example 2

Inputs: Length = 10; Width = 10; Depth / thickness = 4; Waste allowance = 10.

Results of example 2
ResultValue
Cubic yards1.358 yd³
Cubic feet36.6667
Cubic metres1.0383

The first line is the headline result (cubic yards). Below it the sand Calculator lists cubic feet and cubic metres, which describe the same case from other angles. IEEE-754 double precision; shown to at most 6 decimal places.

Planning how much sand to order

Sand is ordered by volume, and the depth depends on the use. A thin bedding layer under pavers is commonly about 1 inch, while a play area or a backfill is much deeper. Check the instructions for your paver or product for the depth they require.

Because sand is delivered loose, add a margin for spillage and settling with the waste allowance field.

Sand for a 12 ft × 12 ft area at different depths

Every figure in this table comes from running this calculator, so it matches what the form returns.

Sand for a 12 ft × 12 ft area at different depths
Depth (inches)Cubic yardsCubic feet
10.444412
20.888924
62.666772

What happens with invalid input

These messages are produced by the calculator itself, so you know what to fix.

  • Depth / thickness: entering "0" shows "Depth / thickness must be greater than 0." beside that field and no result.

Choosing between the Sand Calculator and similar calculators

Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.

Choosing between the Sand Calculator and similar calculators
CalculatorYou enterIt returns
[Mulch Calculator](/construction/mulch-calculator/)length, width and depth / thicknessCubic yards
[Soil Calculator](/construction/soil-calculator/)length, width and depth / thicknessCubic yards
[Gravel Calculator](/construction/gravel-calculator/)length, width and depth / thicknessCubic yards
[Concrete Calculator](/construction/concrete-calculator/)length, width and depth / thicknessCubic yards
[Polymeric Sand Calculator](/construction/polymeric-sand-calculator/)paver area and coverage per bagBags needed

Background: construction estimates

Material quantities are geometry plus a margin. Calculate the exact volume or area, add an allowance for waste, spillage, cuts and uneven ground (calculator pages commonly mention 5 to 10 percent, a rule of thumb that varies by material and job) and round up to whole units. One cubic yard is exactly 27 cubic feet.

Suppliers often have minimum order sizes and may charge for small loads, so confirm quantities, product yields and local code with your supplier or a qualified estimator before ordering.

Assumptions and limitations

  • Rectangular volume only
  • Round up when ordering

Quantities are estimates. Add allowances for waste and site conditions, and follow local codes and a qualified professional's instructions for structural or safety-critical work.

If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for depth / thickness to confirm this.

Frequently asked questions

What does the Sand Calculator calculate?

Cubic yards of sand for an area. It returns Cubic yards, Cubic feet and Cubic metres.

What formula does the Sand Calculator use?

cubic yards = length (ft) × width (ft) × depth (in ÷ 12) ÷ 27. 27 ft³ = 1 yd³.

What do I need to enter in the sand Calculator?

You enter Length (ft), Width (ft) and Depth / thickness (in). Optional: Waste allowance (%).

How is the result rounded or limited?

IEEE-754 double precision; shown to at most 6 decimal places. Rectangular volume only.

What are the limits of this calculator?

Rectangular volume only. Round up when ordering.

What is an example of a sand result?

With length 10, width 10 and depth / thickness 4, the cubic yards is 1.2346 yd³.

Where does the method come from?

The method follows: Manufacturer yield figures for 60 lb and 80 lb pre-mixed concrete bags (Quikrete product data).

Can I rely on this calculator for a decision?

Quantities are estimates. Add allowances for waste and site conditions, and follow local codes and a qualified professional's instructions for structural or safety-critical work. For this calculator in particular: Rectangular volume only.

Sources

  • Manufacturer yield figures for 60 lb and 80 lb pre-mixed concrete bags (Quikrete product data)

Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.