Methodology & Data Sources

Every number our calculators produce comes from a formula and a few defaults. This page lists all of them, explains why we chose each default and names the sources we check them against.

Who builds and reviews the calculators

YardCalcHub is written and maintained by Umar Farooq. Each calculator and guide is reviewed when it is published and again whenever a reader reports a problem; the "Last reviewed" date on each page shows the most recent review. All results are planning estimates – always confirm quantities with your supplier or contractor.

Core formulas

All calculators run the same basic math in US units. Metric inputs are converted first, and results are converted back for display.

QuantityFormula
Area (rectangle)length × width
Area (circle)π × (diameter ÷ 2)²
Area (triangle, gable)½ × base × height (rise)
Cubic feetarea (sq ft) × depth (in) ÷ 12
Cubic yardscubic feet ÷ 27
Tons (bulk materials)cubic yards × tons per cubic yard
Tons (asphalt)cubic feet × lb per cubic foot ÷ 2,000
Bagscubic feet ÷ bag size (cu ft), rounded up
Truckloadscubic yards ÷ truck capacity, rounded up
Paversarea ÷ (paver length × width ÷ 144) × (1 + waste)
Joint sandpavers × (length + width) × joint width × paver thickness ÷ 1,728
Siding squares(walls + gables − openings) × (1 + waste) ÷ 100

Material densities

Weight per cubic yard is the biggest source of difference between a calculator and a supplier's ticket. Stone type, moisture and how much fine material a product contains all change it. We use a typical value as the default and show it next to the input so you can replace it with your supplier's figure.

MaterialTypical rangeDefault we useNotes
Gravel / crushed stone1.3–1.5 t/yd³ (2,600–3,000 lb)1.4 t/yd³Wet stone and stone with fines weigh more
Crusher run / road base1.4–1.7 t/yd³1.4 t/yd³ (edit to supplier figure)Fines make it denser
Topsoil1.0–1.3 t/yd³1.1 t/yd³Wet soil can exceed 1.5 t/yd³
Fill dirt1.1–1.4 t/yd³1.2 t/yd³Clay is heavier than sandy fill
Mulch400–800 lb/yd³Volume onlyMulch is sold by volume, not weight
Bedding / paver sand1.3–1.5 t/yd³1.35 t/yd³Dry sand
Joint / polymeric sandabout 100 lb/ft³100 lb/ft³Check the coverage chart on the bag
Hot mix asphalt (compacted)about 145 lb/ft³145 lb/ft³SMA 148–152, open-graded ~130, cold mix ~140

The full list, with more materials, is in the landscape material weight chart.

Waste and extra allowances

Loose materials settle, fill compacts and pavers and siding need cuts. Each calculator adds a default allowance, shown in its own field so you can change it:

CalculatorDefault extraWhy
Gravel10%Settling, uneven ground, spillage
Mulch5%Settling and uneven beds
Topsoil10%Settling as it is watered; use 15–20% for deep beds
Fill dirt25% (1.25 factor)Loose fill shrinks when compacted; 30% for clay
Pavers5–20% by patternRunning bond 5%, basketweave 7%, herringbone 10–15%, circular 20%
Asphalt5%Uneven base and edges
Siding10–20% by type and shapeVinyl 10%, fiber cement 12%, wood 15%; +5% for complex houses
Siding trim10%Laps and cuts

The fill-dirt factor follows the common shrink-and-swell rule: loose cubic yards to order are about 1.25–1.30 times the compacted volume needed. Paver waste by pattern and siding waste by material follow typical installer practice and manufacturer guidance.

Bags, containers and trucks

  • Bag sizes are the common retail sizes: mulch in 1.5, 2 and 3 cu ft and 50 litre (1.77 cu ft) bags; topsoil in 0.75, 1, 1.5 and 2 cu ft bags. Bag counts are always rounded up.
  • Concrete bag yields are the figures printed on standard concrete-mix bags: about 0.60 cu ft for an 80 lb bag, 0.45 cu ft for 60 lb and 0.30 cu ft for 40 lb – 45, 60 and 90 bags per cubic yard.
  • Cold patch is counted in 50 lb bags at about 140 lb/ft³, or roughly 0.36 cu ft per bag.
  • Trucks (by volume): pickup about 1 yd³, single-axle dump 5 yd³, tandem 10 yd³, tri-axle 15 yd³. Asphalt trucks (by weight): single-axle about 6 tons, tandem 14–20 tons (16 used), tri-axle 20–25 tons (22 used). Weight limits often cap heavy, wet loads, so you can enter your hauler's own figure.
  • Wheelbarrows: 6 cu ft (170 L), filled level. Heavy materials are usually carried in smaller loads, so change the size to what you actually move.
  • Order rounding: the cubic yard calculator rounds up to ¼ yard by default, the step most landscape yards and concrete plants sell in.

Paver joint-sand model

Each paver is treated as "owning" one long and one short joint. Joint volume per paver is (length + width) × joint width × paver thickness, multiplied by the number of pavers before waste. Polymeric sand is estimated at about 100 lb per cubic foot and counted in 50 lb bags. Real coverage depends on how deep the sand settles into the joints, so check the bag's coverage chart before you buy.

Siding assumptions

  • Standard openings: window 3 × 4 ft (12 sq ft), entry door 3 × 7 ft (21 sq ft), garage door 9 × 7 ft (63 sq ft). All three are editable.
  • J-channel is estimated around each window (full perimeter), around each door (sides and top) and up both rakes of every gable. Piece length 12½ ft.
  • Starter strip runs along the wall perimeter minus door widths (12 ft pieces); undersill trim along the width of each window (12 ft pieces); one 10 ft outside corner post per corner for each 10 ft of wall height.
  • Vinyl siding cartons default to 2 squares (200 sq ft); fiber cement planks to about 7 sq ft of exposure each (8.25 in × 12 ft at 7 in exposure).

Metric conversions

FromToMultiply by
cubic yardscubic meters0.7646
cubic feetlitres28.32
short tons (US)metric tonnes0.9072
tons per cubic yardtonnes per m³1.1866
lb per cubic footkg per m³16.02
feetmeters0.3048
inchescentimeters2.54

Sources we check defaults against

Our defaults are typical published values. These are the references we point readers to and check our figures against:

  • U.S. Consumer Product Safety Commission – Public Playground Safety Handbook, for playground surfacing depths such as rubber mulch.
  • Interlocking Concrete Pavement Institute (ICPI) – installation guidance for paver base depths, bedding sand, edge restraints and slope (icpi.org).
  • National Asphalt Pavement Association (NAPA) – asphalt mix types and pavement thickness guidance (asphaltpavement.org).
  • Vinyl Siding Institute – vinyl siding installation manual for trim and accessories (vinylsiding.org).
  • Fiber cement manufacturers' installation instructions (for example James Hardie) – plank sizes and exposure.
  • Concrete-mix manufacturers' bag labels – yield per bag.
  • University cooperative extension services – mulch depth, mulching around trees and soil guidance.
  • Quarry and landscape-supplier product sheets – bulk densities for stone, soil and sand.

Manufacturer and supplier figures change. If a product label or your supplier gives a different number, use theirs – every default can be edited in the calculator.

Limits of these calculators

The calculators estimate material quantities for planning and ordering. They are not engineering tools and do not design driveways, retaining walls, slabs or structural fill. For load-bearing work, drainage problems, steep sites or anything that needs a permit, consult a qualified local professional.

Corrections

Found a number that does not match your experience or a product label? Please tell us through the contact page. We check every report and update the page and the review date.

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