How We Calculate
Every answer on this site comes from a simple formula and a published figure. Here are both.
Last updated October 19, 2026
The formulas
- Area
- Rectangle: length × width. Circle: 3.1416 × radius². Triangle: base × height ÷ 2. Odd shapes are split up and added together.
- Volume
- Area in square feet × depth in feet = cubic feet. Cubic feet ÷ 27 = cubic yards.
- Weight
- Cubic yards × the material's published weight per cubic yard ÷ 2,000 = short tons.
- Bags
- Volume ÷ the volume one bag holds (or yields, for concrete), rounded up to a whole bag.
- Sod
- Lawn area plus the extra you choose, ÷ the area one piece or pallet covers, rounded up.
- Pavers
- Area × pavers per square foot. The stone base and sand bed are worked out as volumes.
- Board feet
- Thickness (in) × width (in) × length (ft) ÷ 12, using the lumber trade's rules for nominal sizes.
- Fence posts
- Hole area minus the post's actual size, × the depth the concrete fills, ÷ the bag's yield.
Exact unit conversions
We use the legal definitions published by the National Institute of Standards and Technology: 1 foot is exactly 0.3048 meters, 1 pound is exactly 0.453 592 37 kilograms, and a short ton is 2,000 pounds.
Nothing is rounded until the answer is shown on screen.
Where the figures come from
How much a cubic yard of stone weighs, how much a bag of concrete makes, how deep mulch should go: these come from transportation departments, university extension services, industry standards and the manufacturers' own data sheets. Each calculator names its source next to the number it backs.
When sources disagree, we show the range rather than pick one. When we can't find an authoritative source, we don't publish a figure.
How we test it
Automated tests run every time the site changes. Some check our arithmetic against answers worked out by hand. Others check it against figures other people published:
- NIST: 1 cubic yard = 0.764 554 857 984 cubic meters, 1 acre = 43,560 square feet
- Purdue Extension: about 19 cubic yards of topsoil makes a 6-inch layer over 1,000 square feet
- Pavestone: 480 Holland pavers cover 103 square feet
- NHLA: a 1 × 12 × 12 inch board is one board foot
- Oregon State Extension: 25 one-cubic-foot bags of compost cover 100 square feet at 3 inches
- Black Kow: a 1 cubic foot bag covers 24 square feet at ½ inch
- Quikrete: every row of its bags-per-slab chart, at 4 and 6 inches
- Quikrete and Sakrete: every row of their bags-per-fence-post charts
If any check fails, the site doesn't update.
Rounding
Bags, pieces and pallets are rounded up, because you can't buy part of one. Fence post bags follow the manufacturers' own rounding: up to the next bag unless the last one would cover 1.5% or less of the job.
Prices
Prices change by region and by week, so we never fill one in for you. Type the price from your supplier and the calculator does the rest.
Every source we use
7 CFR §1217.4 (softwood lumber board foot)
nominal thickness of less than 1 inch is calculated as 1 inch
American Concrete Institute, Concrete Terminology
normalweight concrete: approximately 150 lb/ft3
American Softwood Lumber Standard, PS 20-20 (NIST)
§2.2: board feet use nominal thickness and width
Black Kow Organic Cow Manure Blend (1 cu ft bag)
1 cu ft; covers 24 sq ft at 1/2 inch
Caltrans Maintenance Manual, Appendix (2014)
p. Appen-31: broken stone 1 in. to dust, loose measure
Coast of Maine Quoddy Blend Lobster Compost (1 and 2 cu ft bags)
ICPI Tech Spec 2 (rev. Feb 2020)
Patios: minimum 4 in. compacted base; residential driveways at least 6 in.
Iowa DOT Materials IM 340
Normal weight concrete is typically in the range of 140 - 150 lbs./cu. ft
Kansas State University, MF2134 Raised Bed Gardening (2022)
A 6- to 8-inch depth of the bed at minimum is recommended
Mississippi State University Extension, P2951
Pallet typically 450 to 500 sq ft; buy about 5 percent more
Missouri DOT, Highway Maintenance Tables and Conversion Factors
Loose weights: granite or limestone 2,410–2,590 lb/cu yd
New Mexico State University, Guide H-509
The absolute minimum soil depth for a lawn is 4 inches; 6 or more recommended
NHLA Rules for the Measurement and Inspection of Hardwood (2023)
¶16: one board foot is 12 in. × 12 in. × 1 in.; under 1 in. measured as 1 in.
NIST Handbook 44 (2024), Appendix C
NRMCA, Concrete in Practice 8: Discrepancies in Yield
Include an allowance of 4 to 10 percent over plan dimensions
Oregon State University Extension, EM 9217 Interpreting Compost Analyses (2018)
bulk density can range from 800 to more than 1,600 lb/cu yd; about 1,000 at 50% moisture
Oregon State University Extension, EM 9308 How to Use Compost (2021)
Lawn topdressing 1/4–1/2 in; new lawn 1–2 in; new beds 3–4 in; existing beds 1/4–1 in a year
Pavestone Holland 60 mm spec sheet
100 × 200 × 60 mm; 480 units per pallet; 103 sq ft per pallet
Pavestone red volcanic rock bag label (0.5 cu ft, 19 lb)
19 lb ÷ 0.5 cu ft × 27 = 1,026 lb/cu yd
Pavestone river pebbles bag label (0.5 cu ft, 46 lb)
46 lb ÷ 0.5 cu ft × 27 = 2,484 lb/cu yd
Penn State Center for Dirt & Gravel Roads, DSA Tech Bulletin (2025)
placed at an 8 in. depth and compacted to 6 in.
Purdue Extension, AY-28-W
Pallet about 450 sq ft; order about 10 percent more sod
Quikrete All-Purpose Gravel (0.5 cu ft, 50 lb)
Quikrete Concrete Mix 1101 data sheet (2022)
40 lb yields about 0.30 cu ft; 50 lb 0.375; 60 lb 0.45; 80 lb 0.60; about 140 lb/cu ft
Quikrete Fast-Setting Concrete Mix 1004 data sheet (2025)
50 lb yields about 0.375 cu ft; hole about 3 times the post; depth 1/3 of overall post height
Quikrete play sand (0.5 cu ft, 50 lb)
Quikrete Product Guide (Fast-Setting Concrete bag chart)
50 lb bags by slab area at 4 and 6 in; yields approximate, no waste
Quikrete, Concrete Driveways and Curbs
4 in. for passenger cars; 5 or 6 in. for trucks and heavy vehicles
Quikrete, Concrete Patios
Generally, a 4 in. thick slab
Quikrete, Concrete Sidewalks and Small Slabs
Sidewalks should be at least 4 in. in thickness
Sakrete Fast Setting Concrete Mix data sheet
50 lb yields 0.38 cu ft; post chart based on an average 10 in. hole; 4–6 in. gravel base
Sakrete High-Strength Concrete Mix technical data sheet
40 lb 0.30 cu ft; 60 lb 0.45; 80 lb 0.6
Scotts Nature Scapes mulch (1.5 cu ft bag)
Scotts Premium Topsoil (0.75 cu ft bag)
UF/IFAS Florida-Friendly Landscaping
Keep a 2- to 3-inch-deep layer of mulch on plant beds
University of Illinois Extension (2018)
applied at the recommended depth of two to three inches
University of Minnesota Extension, Interpreting your compost report
may range from 800 to 1500 pounds depending on the moisture content
University of Wisconsin–Madison, Gravel PASER Manual (2015)
For most conditions, a minimum gravel thickness of 6 in. is required
US EPA, Volume-to-Weight Conversion Factors (2016)
Wood chips: 243 lb/cu yd dry, 473 green
USDA NRCS, Soil Quality Indicators: Bulk Density
Vigoro and Scotts mulch, 2 cu ft bags (Home Depot listing)
Vigoro pea gravel bag label (0.5 cu ft, 48 lb)
48 lb ÷ 0.5 cu ft × 27 = 2,592 lb/cu yd
Washington State University Extension, C075 Guide to Mulches
Compost: Use 1 to 3 inches in vegetable gardens and flower, and shrub beds.
Found a mistake?
Tell us on the contact page. We check every report against the source and fix the calculator if it's wrong.