How ScapeCalc calculates
Every formula and constant behind the calculators, with its source and the date it was checked, so you can repeat any result by hand.
Units
Inside every calculator, lengths are in feet, areas in square feet and volumes in cubic feet. What you type is converted on entry, and results are converted for display. Lengths can be typed in feet and inches, such as 6' 6" or 6 ft 6 in, or in meters and centimeters with the metric setting.
| Conversion | Value | Source |
|---|---|---|
| Feet per inch | 1/12 | Definition |
| Cubic feet per cubic yard | 27 | Definition (3 ft × 3 ft × 3 ft) |
| Meters per foot | 0.3048 (exact) | NIST Handbook 44 (2026), Appendix C, p. C-9 |
| Cubic feet per cubic meter | 35.3147 | Derived from 0.3048 m per foot |
| US dry quart | 67.200625 cubic inches = 0.0388894 cu ft (25.714 quarts per cu ft) | NIST Handbook 44 (2026), Appendix C, p. C-14 |
Checked October 23, 2026.
Area of each shape
| Shape | Formula |
|---|---|
| Rectangle | length × width |
| Circle | π × (diameter ÷ 2)² |
| Ring, such as a bed around a tree | π × ((outer diameter ÷ 2)² − (inner diameter ÷ 2)²) |
| Triangle | ½ × base × height |
| Border around a lawn or patio | outer length × outer width − inner length × inner width |
| Known area | the square feet you enter |
Volume, waste and settling
- Volume of each area = area × depth, with depth converted to feet. Each area can have its own depth.
- Top-up: the depth to add is the target depth minus the existing depth. If the target is not deeper than what is there, no top-up is needed.
- Total = the sum of all complete areas. An area with a missing or invalid field is left out of the total, and the calculator says so.
- Waste and settling allowance: volume to buy = volume × (1 + allowance). The volume before the allowance is shown too.
- Cubic yards = cubic feet ÷ 27. Cubic meters = cubic feet × 0.0283168.
Rounding
- You can't buy part of a bag, so bag counts always round up. The unrounded figure is shown next to the count.
- Bulk orders round up to the supplier's order increment, for example to the next half cubic yard.
- A value that lands a hair above a whole number from floating-point error, such as 4.0000000001 bags, is treated as the whole number.
- Displayed figures are rounded for reading (cubic yards to two decimals). Totals are always calculated from unrounded values.
Bags, bulk and cost
- Bags = volume to buy ÷ bag size, rounded up. Bag sizes in quarts are converted at 25.714 quarts per cubic foot.
- Bag cost = number of bags × price per bag.
- Bulk cost = cubic yards ordered (after rounding up to the order increment) × price per cubic yard + delivery fee.
- Cheaper option: shown only when both a bag price and a bulk price are entered, with the difference in dollars.
- Break-even volume, where bulk becomes cheaper than bags = delivery fee ÷ (price per bag ÷ bag size − price per cubic yard ÷ 27). It is approximate because it ignores rounding, and it is shown only when bags cost more per cubic foot than bulk.
Worked example
A bed 10 ft long and 10 ft wide, at 3 inches deep, with 2 cubic foot bags and no waste allowance. Enter the same bed in the mulch calculator to check it:
- Area: 10 × 10 = 100 sq ft.
- Depth: 3 ÷ 12 = 0.25 ft.
- Volume: 100 × 0.25 = 25 cu ft, which is 25 ÷ 27 = 0.93 cubic yards.
- Bags: 25 ÷ 2 = 12.5, rounded up to 13 bags.
- With a 10% allowance: 25 × 1.1 = 27.5 cu ft, which is 13.75, rounded up to 14 bags.
Limits of these estimates
- Results are only as exact as your measurements. Curved or irregular beds are approximated by the shapes you choose.
- Real bags and loads vary. Bag fill, moisture and how loosely a supplier loads bulk mulch all change the volume you get.
- Mulch settles. The waste and settling allowance is a ScapeCalc default, not a measured value for your product.
- Playground depths are the figures CPSC publishes. ScapeCalc has not tested any surfacing product; follow the maker's stated depth and fall height.
- Prices are the ones you enter. ScapeCalc does not look up or store prices.
Sources and check dates
Each calculator lists the constants it uses (bag sizes, depths, densities and allowances) here and on its own page, each with its source and the date it was checked. Defaults with no published standard are labeled "ScapeCalc default". Sources are reviewed on a set schedule: a full review each January before the spring season, and lighter checks in April, July and October. The change log below records only reviews that have been completed.
Mulch calculator constants
The constants behind the mulch calculator, each with its sources:
| Constant | Value | Source | Checked |
|---|---|---|---|
| Default bag, wood or bark | 2 cu ft | Ace Hardware mulch listings; Home Depot bagged mulch listings; Ace Hardware | Oct 22, 2026 |
| Default bag, rubber | 0.8 cu ft | Ace Hardware; Lowe's; Ace Hardware mulch listings | Oct 23, 2026 |
| Bag size seen in listings (rubber) | 0.8 cu ft | Ace Hardware; Lowe's | Oct 23, 2026 |
| Bag size seen in listings (wood, rubber) | 1.5 cu ft | Ace Hardware; Home Depot bagged mulch listings; Home Depot | Oct 22, 2026 |
| Bag size seen in listings (wood) | 2 cu ft | Ace Hardware mulch listings; Home Depot bagged mulch listings; Ace Hardware | Oct 22, 2026 |
| Bag size seen in listings (wood) | 3 cu ft | Johnson's Garden; Home Depot bagged mulch listings | Oct 22, 2026 |
| Depth: Garden beds, general | 3 in (range 2–4 in) | Illinois Extension; UNL Extension EC1274 | Oct 23, 2026 |
| Depth: Fine or composted mulch | 2.5 in (range 2–3 in) | Illinois Extension | Oct 23, 2026 |
| Depth: Coarse mulch | 3.5 in (range 3–4 in) | Illinois Extension | Oct 23, 2026 |
| Depth: Trees and shrubs | 3 in (range 2–4 in) | Illinois Extension; UNL Extension EC1274 | Oct 23, 2026 |
| Depth: Flowers and vegetables | 1.5 in (range 1–2 in) | UNL Extension EC1274 | Oct 24, 2026 |
| Depth: Home play set, equipment up to 8 ft (wood) | keep 9 in | CPSC Pub. 324 | Oct 23, 2026 |
| Depth: Home play set, equipment under 4 ft (wood) | keep 6 in | CPSC Pub. 324; ScapeCalc, from CPSC Pub. 324 | Oct 23, 2026 |
| Depth: Home play set, equipment up to 8 ft (rubber) | keep 9 in | CPSC Pub. 324 | Oct 23, 2026 |
| Home play areas: installed depth over the depth to keep | install = keep ÷ (1 − 0.25); CPSC's home handbook says 12 in put down compresses to about 9 in. For equipment under 4 ft, CPSC gives no installed depth; ScapeCalc applies the same ratio (6 in kept, 8 in installed) | CPSC Pub. 324; ScapeCalc, from CPSC Pub. 324 | Oct 23, 2026 |
| Rubber mulch density (optional weight estimate) | about 26 lb per cu ft; product-derived, not a standard; editable or blank; never changes bag counts | ScapeCalc, from product listings | Oct 23, 2026 |
| Waste and settling allowance | 10% (ScapeCalc default) | ScapeCalc default | Oct 22, 2026 |
| Bulk order step | 0.5 cu yd (ScapeCalc default) | ScapeCalc default | Oct 22, 2026 |
| Rubber mulch in gardens and landscapes (note shown when rubber is chosen) | WSU Extension recommends against rubber mulch in gardens and landscapes. The reasons it gives: zinc can build up to levels toxic to plants, rubber is highly flammable, and it can leach chemicals as it breaks down. UNL Extension also says shredded rubber is not widely recommended as a landscape mulch, and Purdue Extension says its long-term effects are still unclear. | WSU Extension FS163E (archived, rev. 2021); UNL Extension EC1274; Purdue Extension | Oct 23, 2026 |
| Mulch clear of tree trunks | no single distance: guides say 1–2 in (Purdue, UMD) to at least 4 in (Illinois); never against the bark (UNL) | Purdue Landscape Report; University of Maryland Extension; Illinois Extension; UNL Extension EC1274 | Oct 23, 2026 |
| Top of the recommended bed range | 4 in; more can be harmful | Illinois Extension; UNL Extension EC1274 | Oct 23, 2026 |
All sources
Every source the Mulch Calculator relies on, in one numbered list. Government and university extension publications support depths and safety guidance; retailer and product listings support bag sizes and product weights and are labeled as listings; figures ScapeCalc works out itself are labeled as derived or as ScapeCalc defaults.
- Unit definitions (12 in per ft; 3 ft per yd, so 27 cu ft per cu yd). Checked .
- NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement, National Institute of Standards and Technology. Checked .
- Mulch category, first page of listings (sample of 30 of 98 products), Ace Hardware. Checked .
- Bagged wood mulch category, first page of listings (sample of 12 of 33 products), Home Depot. Checked .
- Scotts Nature Scapes mulch, 2 cu ft, Ace Hardware. Checked .
- GroundSmart Black Rubber Nuggets, 0.8 cu ft, Ace Hardware. Checked .
- Rubberific Premium Shredded Rubber Mulch, 0.8 cu ft, Lowe's. Checked .
- Rubber mulch bulk density, approximate, derived from four product listings. Checked . Kodiak super sack: 2,000 lb ÷ 76.9 cu ft = 26.0 lb/cu ft (https://www.kodiaksports.com/products/rubber-mulch-super-sack-2000lbs). Viagrow pallet: 1,000 lb ÷ 37.5 cu ft = 26.7 lb/cu ft (https://www.homedepot.com/p/Viagrow-Rubber-Playground-and-Landscape-Mulch-37-5-CF-pallet-of-25-bags-1-38-cu-yds-1000-lbs-VRedWRM-25PT/330722224). Rubbermulch.com bag: 40 lb ÷ 1.55 cu ft = 25.8 lb/cu ft (https://rubbermulch.com/pages/calculate-rubber-mulch). Walmart listing: 1,000 lb ÷ 39 cu ft = 25.6 lb/cu ft (https://www.walmart.com/ip/Rubber-Mulch-Nuggets-Protective-Flooring-for-Playgrounds-Swing-Sets-Play-Areas-and-Landscaping-1-000-LBS-39-CU-FT-Black/15637911975). Range 25.6–26.7 across four products. Product-derived; varies by product; not a standard. No manufacturer specification sheet found (Oct 23, 2026); the GroundSmart listings at Lowe’s and Do it Best give no weight. Used only for an optional weight estimate that never changes bag counts.
- Rubber Mulch Use in Home Gardens and Landscapes (FS163E), Linda Chalker-Scott, Washington State University Extension (archived publication) (PDF). Checked . Archived by WSU; revised Dec 2021. Archived is not withdrawn: its points are corroborated by UNL EC1274 and Purdue Extension (2015).
- Mulching the Landscape, EC1274 (2014; latest edition), Anne M. Streich, Zac J. Reicher and Kim A. Todd, University of Nebraska–Lincoln Extension. Checked .
- Jury still out on use of rubber mulch (Dec 4, 2015), Rosie Lerner, Purdue Consumer Horticulture. Checked .
- Miracle-Gro Multi-Colored Hardwood Mulch, 1.5 cu ft, Ace Hardware. Checked .
- Viagrow 1.5 cu ft Rubber Playground and Landscape Mulch, Home Depot. Checked .
- Grade A All Bark Cedar Mulch, 3 cu ft, Johnson's Garden. Checked .
- Proper Mulching Techniques (Tree Care Basics), modified March 2024, Sarah Vogel and Jenny Lee, University of Illinois Extension. Checked .
- Outdoor Home Playground Safety Handbook, Pub. 324 (2005), U.S. Consumer Product Safety Commission. Checked .
- Installed depth for home equipment under 4 ft, derived from CPSC Pub. 324. Checked . CPSC Pub. 324 gives 6 in to keep under 4 ft but no installed depth. ScapeCalc applies the handbook’s 12-to-9 in settling (25%): 6 ÷ 0.75 = 8 in installed. An interpretation, not CPSC guidance.
- ScapeCalc default (no published standard; editable). Checked .
- Public Playground Safety Handbook, Pub. 325 (July 2025 edition), U.S. Consumer Product Safety Commission (PDF). Checked .
- ASTM F1292, Standard Specification for Impact Attenuation of Surfacing Materials Within the Use Zone of Playground Equipment (current edition F1292-26), ASTM International. Checked . ASTM lists F1292-26 as active (updated Sep 14, 2026); F1292-22 is historical. Named as CPSC cites it; ScapeCalc has not reviewed the standard.
- ASTM F2075, Standard Specification for Engineered Wood Fiber for Use as a Playground Safety Surface (current edition F2075-26), ASTM International. Checked . ASTM lists F2075-26 as active (updated Jul 16, 2026); F2075-20 is historical. Named as CPSC cites it; ScapeCalc has not reviewed the standard.
- ASTM F3012, Standard Specification for Loose-Fill Rubber for Use as a Playground Safety Surface (current edition F3012-22), ASTM International. Checked . ASTM lists F3012-22 as active (updated Feb 14, 2022). Named as CPSC cites it; ScapeCalc has not reviewed the standard.
- Mounds upon Mounds of Mulch (undated), Purdue Landscape Working Group, Purdue University. Checked .
- Mulch Volcanoes Kill Trees (May 24, 2024), Annette Cormany, University of Maryland Extension. Checked .
- Tree-care post defining the 3-3-3 mulching rule (first published 2011), Casey Trees. Checked .
Corrections policy
Found an error? Email contact@scapecalc.com. Each report is checked against the source. Confirmed errors are fixed, and the fix is recorded in the change log below with its date.
Change log
| Date | Change |
|---|---|
| Mulch calculator page: added a coverage chart and answers on depth, timing, old mulch, landscape fabric, foundations, watering and how long mulch lasts (UNL Extension), and the 3-3-3 rule as a rule of thumb (Casey Trees). The full source list moved to this page. No calculation changed. | |
| Evidence follow-up: home play-set depths, including rubber, now cite CPSC’s home playground handbook (Pub. 324: 12 in put down compresses to about 9 in), with the same results; the 8 in installed for equipment under 4 ft is labeled as ScapeCalc’s interpretation; public-playground guidance is labeled as such; tree-trunk advice gives the range sources recommend instead of one distance; bag-size wording is limited to the listings checked; rubber weight is an optional rough estimate; ASTM editions recorded. | |
| Pre-launch source audit: playground figures now use CPSC’s July 2025 public playground handbook, so a rubber play area is installed a third deeper than the depth to keep; the default rubber mulch bag is 0.8 cu ft; source titles and dates corrected. | |
| Methodology published. |