Calculated result
1.5yd³
Bulk sand order
Formula
LAND-SAND-001L × W × depth ÷ 27 × (1 + compaction) × (1 + waste)
30 ft³
Net sand volume
1.28 yd³
Volume after compaction factor
2.03 tons
Estimated delivery weight
Landscaping calculator
Sand calculator
a 12 ft × 10 ft bed at 3 in depth is 1.11 yd³. With 15% compaction and 10% waste the bulk order rounds to 1.5 yd³, or about 2.03 tons at 1.35 tons/yd³. In metric, net sand volume is 0.85 m³.
Formula. L × W × depth ÷ 27 × (1 + compaction) × (1 + waste)
Bulk sand volume and tonnage from area, installed depth, a visible compaction factor and supplier density.
By Feroz Sheikh · Formula LAND-SAND-001 v1.0.0 · Tested formula
Formula
LAND-SAND-001v1.0.0Project inputs
Enter your measurements. Switching units converts the same project, including coverage and unit rates. Package yields keep the unit printed beside each field.
Refine measurements and rates at any time. Your current values are included in the material-list PDF.
Planning estimate, not engineering advice. Confirm site measurements and product specifications. Calculation limits.
This calculator returns bulk sand volume and tons from area, installed depth, compaction and supplier density. Formula LAND-SAND-001 v1.0.0. Paver bedding sand has its own tool. Add the tons to an estimate. Replace density with the quarry ticket.
- Measure the finished area and the compacted installed depth.
- Enter a compaction factor when the sand will be tamped or plated.
- Replace the default density with the supplier's figure for the selected sand.
Size chart
Sand pad chart (3 in, 15% compaction, 1.35 t/yd³, 10% waste)
Replace density with the quarry ticket. Paver bedding sand has a companion tool.
| Pad | Primary | Check |
|---|---|---|
| 8 × 8 ft | 0.8 yd³ | 16 ft³ |
| 10 × 10 ft | 1.2 yd³ | 25 ft³ |
| 12 × 10 ft | 1.5 yd³ | 30 ft³ |
| 20 × 12 ft | 2.9 yd³ | 60 ft³ |
Metric example — 4 × 3 m pad. A 4 × 3 m pad at 3 in installed depth, 15% compaction and 10% waste returns 1.6 yd³.
- Bulk volume. Yards and tons use the density or roll coverage you enter. Confirm the ticket or the nursery roll. Landscape material density
Add your project costs
Enter supplier prices and any labour, equipment or delivery costs. Pick a currency — badges, inputs, and totals follow.
Costs use the bulk-yard, bag or truck-load rate you type. Construclytic does not fetch quarry or nursery prices. Delivery, fabric and edging stay separate lines. For GCC projects, select QAR, AED, SAR, KWD, OMR or BHD and enter local supplier rates.
How this calculator works
A transparent sand calculator takeoff.
Feroz SheikhWritten and reviewed by Feroz Sheikh · founder
This calculator converts a rectangular sand area and installed depth into cubic yards, then applies a visible compaction factor, waste allowance and supplier density for tonnage.
LAND-SAND-001 is area × installed depth × density, then a compaction factor and a supplier increment. Mason sand, concrete sand and bedding sand do not share a density. Formula ID stays on the ticket.
Worked example. Example: a 12 ft × 10 ft bed at 3 in depth is 1.11 yd³. With 15% compaction and 10% waste the bulk order rounds to 1.5 yd³, or about 2.03 tons at 1.35 tons/yd³.
See the example inputs and calculated result
This separate example uses the calculator's starting values in imperial units. It stays unchanged when you edit the tool above. Example rates, yields and dimensions are assumptions, not recommendations for your project.
| Input | Example value |
|---|---|
| Length | 12 ft |
| Width | 10 ft |
| Installed depth | 3 in |
| Compaction factor | 15 % |
| Density | 1.35 US tons / yd³ |
| Waste factor | 10 % |
Example result: Bulk sand order — 1.5 yd³.
L × W × depth ÷ 27 × (1 + compaction) × (1 + waste)
Use the labelled units above when reproducing this example. To work in metric, switch the calculator to Metric; applicable measurements are converted, while product-specific units remain labelled.
- 1. Measure the finished area and the compacted installed depth.
- 2. Enter a compaction factor when the sand will be tamped or plated.
- 3. Replace the default density with the supplier's figure for the selected sand.
Field notes that change the number
- Depth is compacted unless you say otherwise.
- Replace the default density with the quarry ticket.
- GCC sales are often tonnes and cubic metres — switch units.
Common mistakes
- Using decorative-gravel density on mason sand.
- Forgetting compaction on a paver bed.
- Treating this as a sieve spec.
In Qatar and the wider GCC, switch to metric and replace the density with the local quarry ticket.
Need the broader workflow? Read the landscaping planning guide.
How-to: How many pavers for a 10×10 or 12×12 patio? · Compare aggregate quotes per tonne and per cubic metre · How to count patio pavers
Questions
Questions about sand calculator
Is this the same as the gravel calculator?
No. Sand keeps compaction as its own input because bedding and masonry sands are often ordered loose and then compacted.
Does this include paver joint sand?
Only if you enter joint-fill depth as an equivalent bed. Fine joint sand is often a separate bag product.
How much sand for a 12x10 pad?
A 12 × 10 ft pad at 3 in, 15% compaction, 1.35 t/yd³ and 10% waste returns 1.5 yd³. Replace density with the quarry ticket.
Is paver bedding sand the same tool?
Paver base has its own cubic-yard line for stone plus bedding. This sand calculator is the bulk-sand takeoff.
What is the formula ID?
This sand calculator publishes formula LAND-SAND-001, version 1.0.0. The ID stays on the result and on the estimate line.