Answer first
What this calculator tells you
Calculate the cubic yards and tons of sand needed under pavers or in a play area. Order a sand base or a sandbox fill without guessing the volume. Formula: Cubic yards = area × depth (in) ÷ 12 ÷ 27; tons = cubic yards × weight per cubic yard. At the worked-example inputs, the sand needed (cubic yards) is 1.2. Holding every other input steady, moving area to cover (sq ft) from 160 to 240 moves the result from 0.988 to 1.5.
Transparent method
The formula
Order a sand base or a sandbox fill without guessing the volume.
Worked example
Example inputs
How to interpret the result
Sand fills a layer, so the volume is area times depth. A 200 square foot patio base at 2 inches is 33.3 cubic feet, or 1.2 cubic yards. Dry sand weighs about 1.35 tons a yard, so this job is a bit under 2 tons.
At the worked-example inputs the sand needed (cubic yards) is 1.2. It rises with sand depth (in) and area to cover (sq ft); weight per cubic yard (tons) does not move it.
These are quantity estimates from the area and depth you enter. Real yards have slopes, curves and settling, and bulk materials vary in weight with moisture, so order a little extra and confirm coverage, bag sizes and rates with the product label or your supplier. Fertilizer and seed rates depend on your grass, soil and region, so follow the label and your local extension office.
Before you rely on it
What to check
Use the right sand for the job. Coarse bedding sand goes under pavers and play sand goes in a sandbox, and they are not interchangeable.
The common error
Where people go wrong with sand calculator
Ignoring moisture. Wet sand is heavier by 10 to 20 percent, so a tonnage quote taken from a rainy pile is not the same load as a dry one.
Sensitivity evidence
How area to cover (sq ft) changes the sand needed (cubic yards)
Holding every other input at the worked-example value, moving area to cover (sq ft) from 160 to 240 moves the sand needed (cubic yards) from 0.988 to 1.5: a spread of 0.494, or 40% of the worked-example result.
| Area to cover (sq ft) | Sand needed (cubic yards) | Weight (tons) |
|---|---|---|
| 160 | 0.988 | 1.3 |
| 180 | 1.1 | 1.5 |
| 200worked example | 1.2 | 1.7 |
| 220 | 1.4 | 1.8 |
| 240 | 1.5 | 2 |
Every input, tested
Which input moves the sand needed (cubic yards) most
Of the 3 inputs, sand depth (in) moves the sand needed (cubic yards) most (0.247 across the range tested) and area to cover (sq ft) moves it least (0.247). Weight per cubic yard (tons) does not change it at all.
| Input | Tested from | To | Sand needed (cubic yards) at each end | Swing |
|---|---|---|---|---|
| Sand depth (in) | 1.8 | 2.2 | 1.1 to 1.4 | 0.247 (20%) |
| Area to cover (sq ft) | 180 | 220 | 1.1 to 1.4 | 0.247 (20%) |
| Weight per cubic yard (tons) | 1.2 | 1.5 | 1.2 to 1.2 | none |
Two variables at once
Sand needed (cubic yards) by area to cover (sq ft) and sand depth (in)
Across the grid the sand needed (cubic yards) runs from 0.79 to 1.8. Moving area to cover (sq ft) from 160 to 240 shifts it by 0.494 at the middle column, and moving sand depth (in) from 1.6 to 2.4 shifts it by 0.494 at the middle row, so neither is the bigger lever here.
| Area to cover (sq ft) \ Sand depth (in) | 1.6 | 2 | 2.4 |
|---|---|---|---|
| 160 | 0.79 | 0.988 | 1.2 |
| 180 | 0.889 | 1.1 | 1.3 |
| 200 | 0.988 | 1.2 | 1.5 |
| 220 | 1.1 | 1.4 | 1.6 |
| 240 | 1.2 | 1.5 | 1.8 |
The highlighted cell is the worked example: 1.2.
Step by step
The worked example, input by input
| Input | Value used | What it means |
|---|---|---|
| Area to cover (sq ft) | 200 | Enter the area to cover (sq ft) used in this calculation. |
| Sand depth (in) | 2 | 1 to 2 inches under pavers and 4 to 6 inches for a play area are common. |
| Weight per cubic yard (tons) | 1.4 | Dry sand is about 1.3 to 1.4 tons per cubic yard, and wet sand is heavier. |
| Sand needed (cubic yards) | 1.2 | |
| Weight (tons) | 1.7 | |
Inputs, definitions and assumptions
Area to cover (sq ft)
Enter the area to cover (sq ft) used in this calculation. The prefilled worked-example value is 200.
Sand depth (in)
1 to 2 inches under pavers and 4 to 6 inches for a play area are common. The prefilled worked-example value is 2.
Weight per cubic yard (tons)
Dry sand is about 1.3 to 1.4 tons per cubic yard, and wet sand is heavier. The prefilled worked-example value is 1.4.
How to use this calculator
- 1Verify the inputs. Gather area to cover (sq ft), sand depth (in) and weight per cubic yard (tons) from your own documents; the prefilled values are examples.
- 2Save a baseline. The worked example puts the sand needed (cubic yards) at 1.2. Store your own version of it as Scenario A.
- 3Test one change. Start with sand depth (in), the input with the biggest effect here: moving sand depth (in) from 1.8 to 2.2 takes the sand needed (cubic yards) from 1.1 to 1.4, a swing of 20% of the worked-example figure.
- 4Check the extremes. At half the example sand depth (in) (1) the sand needed (cubic yards) is 0.617; at double (4) it is 2.5.
People also ask
Frequently asked questions
How do you calculate sand?
Cubic yards = area × depth (in) ÷ 12 ÷ 27; tons = cubic yards × weight per cubic yard. At the worked-example inputs the sand needed (cubic yards) is 1.2.
What does the sand result mean?
Order a sand base or a sandbox fill without guessing the volume. At the worked-example inputs the sand needed (cubic yards) is 1.2. It rises with sand depth (in) and area to cover (sq ft); weight per cubic yard (tons) does not move it.
How much does area to cover (sq ft) change the sand needed (cubic yards)?
Holding every other input at the worked-example value, moving area to cover (sq ft) from 160 to 240 moves the sand needed (cubic yards) from 0.988 to 1.5, a spread of 0.494.
What are the limits of this sand calculator?
These are quantity estimates from the area and depth you enter. Real yards have slopes, curves and settling, and bulk materials vary in weight with moisture, so order a little extra and confirm coverage, bag sizes and rates with the product label or your supplier. Fertilizer and seed rates depend on your grass, soil and region, so follow the label and your local extension office. The tables on this page test area to cover (sq ft) only from 160 to 240; a value outside that range is not tabulated here.
Which input moves the sand needed (cubic yards) most in the sand calculator?
Ranked by how far each moves the sand needed (cubic yards) across the range tested: sand depth (in) (0.247, 20%) and area to cover (sq ft) (0.247, 20%). Weight per cubic yard (tons) does not change it.
If I double sand depth (in) in the sand calculator, does the sand needed (cubic yards) double?
Doubling it from 2 to 4 takes the sand needed (cubic yards) from 1.2 to 2.5, which is 2.00 times the worked-example figure. So the result scales almost exactly in proportion. Halving it to 1 gives 0.617.
How much does sand depth (in) matter in the sand calculator?
The worked example uses 2. Holding every other input at its worked-example value, moving sand depth (in) from 1.8 to 2.2 takes the sand needed (cubic yards) from 1.1 to 1.4, a swing of 20% of the worked-example figure.
How much does weight per cubic yard (tons) matter in the sand calculator?
The worked example uses 1.4. The sand needed (cubic yards) does not depend on weight per cubic yard (tons); it moves the weight (tons) from 1.5 to 1.8 instead when weight per cubic yard (tons) goes from 1.2 to 1.5.
Which inputs change the weight (tons) in the sand calculator?
At the worked-example inputs it is 1.7. Area to cover (sq ft) takes it from 1.5 to 1.8, sand depth (in) takes it from 1.5 to 1.8 and weight per cubic yard (tons) takes it from 1.5 to 1.8.
How deep should mulch be?
About 2 to 3 inches for most beds. Under 2 inches lets weeds through, and over 4 inches can smother roots and hold too much moisture. Keep it a few inches back from trunks and stems.
How many square feet does a cubic yard cover?
A cubic yard covers 324 square feet at 1 inch deep, 162 at 2 inches, 108 at 3 inches and 81 at 4 inches. The calculator does this for any area and depth.
Is it cheaper to buy in bulk or in bags?
Usually bulk once you pass about a cubic yard, which is 13 or 14 two-cubic-foot bags. Bags cost more per yard but are easier to carry and store, and bulk needs a delivery spot.
Sources and evidence
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