Methodology: Formulas, Densities & Assumptions
The exact formulas, density values, and assumptions our gravel calculator uses, with citations to ASTM, USGS, and quarry-published spec sheets.
We publish our calculator's math openly so you can verify it. Every output you see on this site comes from the formulas and constants below — there's no fudge factor and no proprietary black box.
Our principles
- Show the math. The formulas are public. The density table is public. If you disagree with a number, the calculator's material picker lets you check the range.
- Round at the boundary, not in the middle. Internal calculations are done in cubic feet at full floating-point precision. We round only at the display stage.
- Conservative buffers. The default 10% waste buffer is standard industry practice for residential gravel projects.
- Citations matter. Densities are stated as ranges, not single numbers, because real-world gravel varies with source and moisture.
Volume formulas
All volume math is done in cubic feet. Lengths convert to feet at the input boundary (inches divide by 12; meters multiply by 3.281).
| Shape | Formula |
|---|---|
| Rectangle | L × W × D |
| Circle | π × (diameter / 2)² × D |
| Triangle | 0.5 × base × height × D |
| Annulus (ring) | π × ((outer/2)² − (inner/2)²) × D |
| Multi-area | Σ (area_i) × D |
Unit conversions
| Conversion | Exact value |
|---|---|
| 1 cubic yard | 27 cubic feet |
| 1 cubic meter | 35.3146667 cubic feet |
| 1 inch | 1/12 ft (0.0833 ft) |
| 1 foot | 0.3048 m |
| 1 short ton (US) | 2,000 lb (907.185 kg) |
| 1 metric tonne | 1,000 kg (2,204.62 lb) |
| 1 pound | 0.45359237 kg |
Material densities
Density is the most important variable in any weight calculation, and it varies. We use a representative average and display the typical range in the calculator's tooltip. Ranges are taken from quarry-published spec sheets across multiple regions of the US, then averaged. They are aligned with values commonly cited in landscaping and civil-engineering practice.
| Material | Average lb/yd³ | Range lb/yd³ | Typical depth (in) |
|---|---|---|---|
| Pea Gravel (3/8") | 2,450 | 2,400–2,500 | 2–3 |
| Crushed Stone #57 | 2,750 | 2,700–2,800 | 4–6 |
| Crushed Stone #8 | 2,700 | 2,650–2,750 | 2–4 |
| Crushed Stone #4 | 2,650 | 2,600–2,700 | 4–8 |
| River Rock (1"–3") | 2,550 | 2,500–2,600 | 3–4 |
| Decomposed Granite | 2,550 | 2,500–2,600 | 2–3 |
| Crushed Limestone | 2,700 | 2,650–2,750 | 4–6 |
| CA6 / 21AA / Class 5 | 2,650 | 2,600–2,700 | 4–6 |
| ABC / Crusher Run | 2,700 | 2,650–2,750 | 4–6 |
| Recycled Concrete | 2,650 | 2,600–2,700 | 4–6 |
| Lava Rock | 1,500 | 1,400–1,600 | 2–3 |
| Concrete Sand | 2,700 | 2,600–2,800 | 1–2 |
Buffer / waste factor
The calculator's default buffer is 10%. This single buffer covers compaction, spillage, irregular edges, and small measurement errors — the standard practice across residential aggregate ordering. The buffer is applied to both the volume and weight outputs symmetrically. You can adjust it from 0 to 25% using the slider on any calculator page.
Limits and caveats
- The calculator is not a structural-engineering tool. For bridges, highways, or load-rated structures, follow your engineer's spec.
- Cost figures are rough. The default $50/ton and $65/yd³ are placeholders. Always replace them with a quote from your local supplier.
- Density ranges are typical, not absolute. Crushed stone from a high-density basalt quarry can run 5–8% heavier than the limestone average we use.
- Concrete-mix calculations follow nominal volumetric mix design with a standard 1.54 dry-volume factor. For structural concrete, follow ACI guidance and your engineer.
References & standards
The density figures used by this calculator are cross-checked against the following public sources. Where ranges differ, we use the midpoint and surface the full range in the material-picker tooltip.
- ASTM D2940 / D448 — Standard Specification for Graded Aggregate Material (defines #57, #8, #4, etc. size grades used in the U.S. crushed-stone family).
- USGS Mineral Commodity Summaries — Crushed Stone & Construction Sand and Gravel (annual). Industry-wide average densities and production data.
- Vulcan Materials, Martin Marietta, and Lehigh Hanson product spec sheets — major U.S. quarry chains publishing density and grade data per product.
- UK MOT Type 1 / DOT specification — for the metric calculator's sub-base material defaults.
- ACI 211.1 — Standard Practice for Selecting Proportions for Normal, Heavyweight, and Mass Concrete — for the concrete-mix calculator's volumetric design factor and water-cement ratios.
Frequently asked questions
If you spot an error in any of the values above, please contact us — we update the methodology when better data is available.