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Cubic yard calculator: any shape, any material

Cubic yards = length × width × depth in feet ÷ 27. A 12 × 10 ft bed at 3 inches of mulch is 1.1 cubic yards. Add as many areas as the job has, pick the material for tons, and switch on excavation mode for loose yards and truckloads.

Areas

Material

Cubic yards

1.11

Cubic feet

30

0.85 m³

Tons of mulch

0.33

2 cu ft bags

15

Bagged mulch and soil

Quantities are half a bid. Send these to the free estimate builder to add labor, burden and markup, then hand the customer a proposal.

Every field takes arithmetic — type 24+18+12 and it adds. Nothing is sent anywhere; the math runs in your browser.

The formula and the conversions

Cubic yards = sq ft × depth (ft) ÷ 27. A circle’s area is π × (diameter ÷ 2)²; a triangle’s is base × height ÷ 2. Measure awkward shapes as several simple ones and add them.

UnitEquals
1 cubic yard27 cubic feet
1 cubic yard0.7646 cubic meters
1 cubic meter1.308 cubic yards
1 cubic foot0.037 cubic yards

Coverage per cubic yard

DepthSq ft per cubic yard
1"324
2"162
3"108
4"81
6"54
12"27

Weight per cubic yard

Typical dry figures; suppliers publish their own and moisture adds weight.

MaterialTons / cu ydLb / cu yd
Crushed stone (#57 / #3)1.402,800
Pea gravel1.402,800
Crusher run / road base1.503,000
River rock1.352,700
Decomposed granite1.402,800
Sand1.352,700
Topsoil (dry)1.102,200
Fill dirt1.202,400
Mulch0.30600
Concrete2.004,000

Bank, loose and compacted yards

Dirt grows when you dig it. The swell factor converts bank yards (in the ground, how excavation is usually measured and paid) to loose yards (in the truck, how it is hauled). Figures below are typical midpoints of commonly quoted ranges — a geotechnical report or your own haul tickets beat them.

MaterialTypical swell1 bank yard hauls as
Sand / gravel12%1.12 loose cu yd
Common earth / loam25%1.25 loose cu yd
Clay35%1.35 loose cu yd
Blasted rock60%1.60 loose cu yd

Worked example: a 30 × 40 ft basement dug 8 ft deep is 9,600 cubic feet — 355.6 bank yards. In common earth at 25% swell that is 444 loose yards, or 45 loads in 10-yard trucks.

Related calculators and pricing

For stone by the ton use the gravel calculator; for lawns and beds, the topsoil calculator; for pours, the concrete calculator. To turn yards into a bid, BuiltSum’s excavation estimating software and landscaping estimating software price equipment, trucking and labor per unit.

Frequently asked questions

How do you calculate cubic yards?

Multiply length × width × depth, all in feet, and divide by 27. Depth in inches goes in as inches ÷ 12, so a 12 × 10 ft bed at 3 inches is 12 × 10 × 0.25 = 30 cubic feet, or 1.11 cubic yards.

How many square feet does a cubic yard cover?

324 sq ft at 1 inch deep, 162 at 2 inches, 108 at 3 inches, 81 at 4 inches and 54 at 6 inches. The rule is 324 ÷ depth in inches.

How do I convert cubic yards to tons?

Multiply by the material's weight per yard: roughly 1.4 tons for crushed stone, 1.35 for sand, about 1.1 for dry topsoil, and 0.3 or less for mulch. Suppliers publish their own figures, and moisture changes them.

How many bags of mulch make a cubic yard?

Thirteen and a half of the common 2 cubic foot bags, since a yard is 27 cubic feet. Three-cubic-foot bags work out to 9 per yard.

What is the difference between bank, loose and compacted yards?

Bank yards are material as it sits in the ground; loose yards are the same material dug out, which swells — common earth by roughly 25%, clay by 30–40%. Compacted yards are what is left after rolling. Excavation is measured in bank yards but hauled in loose yards, so the truck count comes from the bigger number.

Quantities are half the bid.

BuiltSum prices them from trade assemblies, sends the proposal, and bills the job monthly — unlimited projects from $49/mo.

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