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Cubic Yard Calculator

The cubic yard calculator below turns any space into cubic yards, plus what it weighs in tons and what it costs, which is what suppliers actually ask you for.

From Length, Width and Depth

Volume is the same whatever you are ordering. Pick a material and you also get the tonnage.

How to use the Cubic Yard Calculator

Measure length, width and depth and mix units freely, a slab can be 20 feet long and 4 inches deep without you converting anything first. That is the From Length, Width and Depth tab, and it is the one most jobs need.

If you already know the square footage, From Square Feet saves re-measuring: add a depth and it does the rest. Convert a Volume is for a figure you already hold in cubic feet or litres and want in yards.

Picking a material does not change the volume. It adds the weight, because tons are what aggregate yards quote in and the figure nobody works out in their head. Cubic Yards and Tons converts in either direction on its own, and What It Costs takes whichever way your supplier prices, per yard or per ton, with delivery added.

Cubic Yard formula

A cubic yard is a cube one yard on each side: 3 ft × 3 ft × 3 ft = 27 cubic feet. Everything follows from that.

  • cubic feet = length × width × depth (all in feet)
  • cubic yards = cubic feet ÷ 27
  • From area: cubic yards = (sq ft × depth in inches) ÷ 324
  • tons = cubic yards × lb per cubic yard ÷ 2,000

Coverage at common depths

One cubic yard spread at a given depth covers:

DepthSq ft per cubic yardCubic yards per 100 sq ft
1 in3240.31
2 in1620.62
3 in1080.93
4 in811.23
6 in541.85
12 in273.70

The shortcut is 324 ÷ depth in inches. It works because a cubic yard is 36 one-inch slices of 9 square feet each, and 36 × 9 = 324.

Weight per cubic yard

Volume is fixed. Weight is not, a yard of bark mulch and a yard of asphalt differ by more than six times.

Materiallb per cubic yardTons per yardYards per ton
Asphalt3,9151.960.51
Concrete3,5911.800.56
Gravel / crushed stone2,8351.420.71
Pea gravel2,8001.400.71
Sand2,7001.350.74
River rock2,7001.350.74
Fill dirt2,3001.150.87
Topsoil2,1001.050.95
Compost1,1000.551.82
Bark mulch6000.303.33

Bags per cubic yard

Bagged material is sold in cubic feet, so this is just 27 ÷ bag size:

Bag sizeBags per cubic yard
0.5 cu ft54
0.75 cu ft36
1 cu ft27
1.5 cu ft18
2 cu ft14 (13.5 rounded up)
3 cu ft9

Past about a cubic yard, bulk delivery is normally cheaper than bags even after the delivery fee.

Worked example

A 20 ft × 10 ft patio slab at 4 inches:

  • Depth in feet: 4 ÷ 12 = 0.333 ft
  • Cubic feet: 20 × 10 × 0.333 = 66.67 ft³
  • Cubic yards: 66.67 ÷ 27 = 2.47 yd³
  • Ready-mix is batched in quarter yards, so you would order 2.50

The same 200 sq ft at 4 inches in gravel instead: 2.47 yd³ × 2,835 lb = 7,000 lb, or 3.50 tons. At $45 a yard with 5% waste that is $116.55.

And backwards: one ton of gravel is 2,000 ÷ 2,835 = 0.71 cubic yards, which spread 3 inches deep covers about 76 square feet.

What the result means

Cubic yards are the ordering unit for bulk materials in the United States, concrete, gravel, sand, soil and mulch are all quoted per yard. Getting to that number is usually the last step before you pick up the phone.

A cubic yard is a surprisingly large amount: 27 cubic feet, roughly a washing machine and a half, and it weighs anywhere from a quarter of a ton as bark mulch to nearly two tons as asphalt.

The volume figures here are exact. The weights are estimates. A cubic yard is defined as 27 cubic feet, so nothing in that arithmetic can drift. Densities are mid-range values and move with moisture, compaction and source, wet gravel runs 15 to 20 percent heavier than dry. If you are buying by weight, ask the yard for their own tons-per-yard figure for the material they are actually loading.

Common mistakes

  • Confusing cubic yards with yards. A yard is a length. A square yard is an area. A cubic yard is a volume. “Three yards of concrete” always means cubic yards, but “three yards of fabric” means length.
  • Dividing by 3 instead of 27. A cubic yard is 3³ cubic feet, not 3.
  • Leaving depth in inches. Four inches is 0.333 feet. Multiplying by 4 gives twelve times too much.
  • Assuming a yard is a ton. It is close for topsoil and badly wrong for everything else, mulch is a third of a ton, asphalt nearly two.
  • Ordering the exact figure. Most bulk materials want 5 to 10 percent on top, and ready-mix only comes in quarter-yard steps.

How much extra to order

JobAddWhy
Ready-mix concrete5%Spillage and uneven subgrade; order in quarter yards
Decorative mulch5–10%Edges and settling
Topsoil5–10%Settles once watered; low spots
Gravel paths10–15%Compaction and rake loss
Base under pavers10–20%Compacts down roughly a fifth

Typical depths

UseDepth
Lawn topdressing¼ to ½ in
Mulch in beds, tree rings2 to 3 in
Gravel paths, decorative stone3 to 4 in
Concrete patio or walkway slab4 in
Gravel base under pavers4 to 6 in
Driveway base8 to 12 in
Playground loose fill9 to 12 in

Frequently asked questions

How many cubic feet are in a cubic yard?
How many cubic yards are in a ton?
How much does a cubic yard cost?
How do I calculate cubic yards from square feet?
Is a cubic yard the same as a yard?
How much does a cubic yard weigh?
How many bags make a cubic yard?
How much area does a cubic yard cover?
How many cubic yards does a truck hold?

Sources and assumptions