Cubic Yard Calculator — Concrete, Gravel, Mulch & Soil
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Cubic Yard Calculator

Work out exactly how much concrete, gravel, mulch, topsoil or sand your project needs. Enter your area in feet and the depth in inches — mixed units are handled automatically — and get cubic yards, tons, bags, truckloads and cost, with a live 3D view of the volume you're ordering.

Project details

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Area shape
Dimensions
Material & waste
%
Bags & delivery
Cost (optional)
$
$
%
Concrete · rectangle Live
10 × 10 ft × 4 inincl. 10% waste
Cubic yards
1.36 yd³
Weight
2.75 tons
Cubic feet36.7 ft³
Cubic meters1.04 m³
Cubic inches
Liters
Weight pounds / kilograms
Bags required 80 lb bags
Truck loads standard dump
Base volume before waste

Estimate from your inputs. Confirm with your supplier before ordering — materials settle and compact.

Quick answer

To calculate cubic yards, multiply length × width × depth in feet, then divide by 27 (there are 27 cubic feet in a cubic yard). If your depth is in inches, divide it by 12 first. For example, a 10 × 10 ft slab at 4 in deep is 10 × 10 × 0.333 = 33.3 ft³ ÷ 27 = 1.23 cubic yards. Add 5–10% for waste before ordering.

At a glance

Key facts

Core formula
L × W × D ÷ 27
1 cubic yard
27 ft³ · 0.7646 m³
Shapes
5 + multi-area
Materials
10 + custom
Units
in · ft · yd · mm · cm · m
Last updated
2026
Getting started

How to use the cubic yard calculator

Five steps. Mixed units are handled for you — enter the area in feet and the depth in inches, exactly how you measured it.

Pick your area shape

Rectangle, circle, triangle, trapezoid, or enter a known area directly. The dimension fields change to match.

Enter the dimensions

Type the length and width (or diameter, base and height) in whatever unit you measured — inches through meters.

Set the depth separately

Depth has its own unit selector because it is almost always measured in inches while the area is in feet. Tap a preset for common depths.

Choose material and waste

Select concrete, gravel, mulch, topsoil and more to get accurate weight, or enter a custom density. Add 5–10% waste for most jobs.

Read the order & export

Get cubic yards, tons, bags, truckloads and cost. Then copy, share, print, export CSV, or save the project to compare.

Transparent math

Formula & method

Every cubic yard calculation is area × depth, converted into yards. The only differences between shapes are how you find the area.

1. Area by shape

Rectangle A = Length × Width Circle A = π × radius² # radius = diameter ÷ 2 Triangle A = ½ × base × height Trapezoid A = ½ × (top + bottom) × height

2. Volume and the conversion to cubic yards

Volume (ft³) = Area (ft²) × Depth (ft) Cubic yards = Volume (ft³) ÷ 27 # A cubic yard is a cube 3 ft on each side: 3 × 3 × 3 = 27 ft³ # Depth in inches → divide by 12 to get feet

Why 27? A yard is 3 feet, so a cubic yard is 3×3×3 = 27 cubic feet. This single number is where most mistakes happen — people divide by 3 or by 9 instead of 27, and end up ordering a third of the material they need.

3. Other unit conversions

1 yd³ = 27 ft³ = 0.7646 m³ = 46,656 in³ = 764.6 liters 1 m³ = 1.308 yd³ = 35.31 ft³

4. Weight, bags and truckloads

Weight = Volume × Density Tons (US) = Weight in lb ÷ 2000 Bags = round up( Volume in ft³ ÷ Bag yield ) Truckloads = round up( Cubic yards ÷ Truck capacity )

Example — a 10 × 10 ft concrete slab, 4 in thick: depth = 4 ÷ 12 = 0.333 ft. Volume = 10 × 10 × 0.333 = 33.3 ft³. Cubic yards = 33.3 ÷ 27 = 1.23 yd³. At about 4,050 lb per yard that is roughly 2.5 tons, or 56 bags of 80 lb mix. Add 10% waste and order 1.36 yd³.

Bagged or delivered? Bagged concrete makes sense up to roughly half a cubic yard — beyond that you are mixing 20+ bags by hand. Most suppliers have a minimum delivery of about 1 yard for ready-mix, and short-load fees apply below the truck minimum. For bulk materials like gravel and mulch, delivery is almost always cheaper by the yard than by the bag.
Reference table

30 worked cubic yard examples

Common projects with the material volume and weight, calculated with the same formulas as the tool above. Figures are base volume before waste.

#ProjectMaterialAreaDepthVolumeWeight
1Concrete slab (10×10)Concrete10×10 ft4 in1.23 yd³2.50 t
2Concrete slab (12×12)Concrete12×12 ft4 in1.78 yd³3.60 t
3Garage floor (20×20)Concrete20×20 ft6 in7.41 yd³14.98 t
4Driveway (12×40)Concrete12×40 ft5 in7.41 yd³14.98 t
5Sidewalk (3×50)Concrete3×50 ft4 in1.85 yd³3.75 t
6Patio (16×20)Concrete16×20 ft4 in3.95 yd³7.99 t
7Shed base (10×12)Concrete10×12 ft4 in1.48 yd³3.00 t
8Footing trench (2×60)Concrete2×60 ft12 in4.44 yd³8.99 t
9Foundation wall pourConcrete1.5×80 ft36 in13.33 yd³26.97 t
10Basketball pad (20×25)Concrete20×25 ft5 in7.72 yd³15.61 t
11Gravel driveway (12×50)Gravel12×50 ft4 in7.41 yd³10.49 t
12Gravel parking (30×40)Gravel30×40 ft6 in22.22 yd³31.46 t
13Gravel path (4×60)Gravel4×60 ft3 in2.22 yd³3.15 t
14French drain (2×40)Crushed stone2×40 ft12 in2.96 yd³4.00 t
15Paver base (16×20)Crushed stone16×20 ft6 in5.93 yd³7.99 t
16Sand base under paversSand16×20 ft1 in0.99 yd³1.33 t
17Play sand box (8×8)Sand8×8 ft12 in2.37 yd³3.20 t
18Pool base (18×36)Sand18×36 ft2 in4.00 yd³5.39 t
19Volleyball court sandSand30×60 ft12 in66.67 yd³89.90 t
20Garden mulch bedMulch20×30 ft3 in5.56 yd³2.25 t
21Mulch around treesMulch10×10 ft4 in1.23 yd³0.50 t
22Playground mulchMulch30×40 ft9 in33.33 yd³13.48 t
23Topsoil lawn (50×60)Topsoil50×60 ft2 in18.52 yd³19.04 t
24Raised garden bed (4×8)Topsoil4×8 ft12 in1.19 yd³1.22 t
25Compost top-dressCompost40×50 ft1 in6.17 yd³3.33 t
26Fill dirt (low spot)Fill dirt20×25 ft8 in12.35 yd³13.01 t
27Asphalt drivewayAsphalt12×50 ft3 in5.56 yd³10.86 t
28Decorative rock bedDecorative rock12×25 ft3 in2.78 yd³3.93 t
29Concrete slab (metric)Concrete5×6 m100 mm3.92 yd³7.94 t
30Topsoil bed (metric)Topsoil10×15 m50 mm9.81 yd³10.09 t

Weights are US short tons using typical densities and will vary with moisture and compaction. Add your waste allowance before ordering.

Make sense of it

Understanding your result

What the numbers mean when you pick up the phone to order.

Cubic yards

The ordering unit

Bulk materials are sold by the cubic yard almost everywhere in the US. This is the number your supplier needs. Most will only deliver in half- or quarter-yard increments.

Weight in tons

What the truck carries

Some suppliers sell by the ton instead of the yard, especially gravel and stone. Weight also tells you whether your driveway or trailer can take the load.

Waste allowance

Order a little extra

Included in the headline figure. Materials settle, spread unevenly, and subgrades are never perfectly flat. Running short mid-pour is far more expensive than a little surplus.

Truck loads

Delivery planning

Tells you how many trips your order needs. If you land just over a truckload, it is often cheaper to trim the depth slightly than to pay for a second delivery.

Common mistakes: dividing by 3 or 9 instead of 27; leaving depth in inches instead of converting to feet; measuring the area but forgetting that gravel and soil compact by 10–20% once rolled or settled; and ordering exactly the calculated amount with no margin. Pro tip: for compacted base material, order about 15–20% extra rather than the usual 10%.
Compare

Depth and material trade-offs

Depth drives volume more than anything else, and material choice drives weight and cost. Both charts use your current area.

Volume by depth

Cubic yards needed for your area at common depths. Your current depth is highlighted.

Other depthsYour depth

Weight by material

What your volume weighs in each material — mulch is a fraction of concrete.

Other materialsYour material
Bonus tool

Multiple area calculator

Most real jobs are several areas at once — a patio, a path and a bed. Add each rectangle here to get one combined order in cubic yards.

Area nameLength (ft)Width (ft)Depth (in)
Combined total including your waste allowance 0 yd³
Reference

Material density & weight per cubic yard

Density is what turns volume into weight. These typical values are built into the calculator; use a custom density for anything unusual.

Materiallb per ft³lb per yd³Tons per yd³Typical use
Mulch (wood)308100.40Garden beds, playgrounds
Compost401,0800.54Soil amendment, top-dressing
Topsoil (screened)762,0561.03Lawns, raised beds
Fill dirt782,1071.05Grading, backfill
Sand1002,6971.35Paver base, sandboxes
Crushed stone1002,6971.35Drainage, sub-base
Gravel1052,8321.42Driveways, paths
Decorative rock1052,8321.42Landscape beds
Asphalt1453,9111.96Driveways, paving
Concrete1504,0452.02Slabs, footings, foundations

Densities vary with moisture, compaction and aggregate size — wet material can weigh 10–25% more than the dry figures shown. Check with your supplier when weight matters for transport.

The complete guide

How to calculate and order materials by the cubic yard

What is a cubic yard?

A cubic yard is the volume of a cube measuring one yard — three feet — on every side. Because three times three times three is twenty-seven, a single cubic yard contains 27 cubic feet. It is the standard unit for selling bulk construction and landscaping materials across the United States: concrete, gravel, sand, topsoil, mulch and fill dirt are all quoted and delivered by the yard. In metric countries the equivalent unit is the cubic meter, which is about 1.31 cubic yards.

The unit exists because it suits the scale of the work. A cubic yard of soil fills roughly nine wheelbarrows, weighs about a ton, and covers a 10 × 10 ft area to a depth of just over three inches. It is big enough to be a meaningful delivery quantity and small enough to be a practical ordering increment.

How cubic yards are calculated

Every calculation follows the same shape: work out the area, multiply by the depth to get a volume, then convert that volume into cubic yards. For a rectangular area the arithmetic is length × width × depth, all in feet, divided by 27. Circles use π times the radius squared, triangles use half the base times the height, and trapezoids average the two parallel sides before multiplying by the height between them.

The step that trips people up is the depth. Almost nobody measures depth in feet — a slab is four inches, a mulch bed is three inches, a gravel base is six. Those inches must be divided by twelve before they enter the formula. Four inches is 0.333 ft, not 4. The calculator above handles this by giving depth its own unit selector, so you enter the numbers exactly as you measured them.

Converting cubic feet, meters and other units

The conversions worth memorising are short. One cubic yard is 27 cubic feet, 0.7646 cubic meters, 46,656 cubic inches, or about 765 liters. Going the other way, one cubic meter is 1.308 cubic yards or 35.31 cubic feet. If a supplier quotes you in tons rather than yards, you need the material's density to convert — which is the next section.

Material density and weight

Density is the bridge between volume and weight. Concrete is the heaviest common material at roughly 150 lb per cubic foot, or about 4,050 lb — just over two tons — per cubic yard. Gravel runs around 2,800 lb per yard, topsoil about 2,050, and mulch as little as 800. That range matters enormously: a single yard of mulch is a manageable pickup load, while a yard of concrete is more than most half-ton pickups should carry.

Moisture changes everything. Wet sand, saturated topsoil and rain-soaked gravel can weigh 10 to 25 percent more than the dry figures in any reference table, which is why suppliers who sell by the ton will often weigh loads at the yard rather than quote a fixed conversion. If you are close to a vehicle's weight limit, assume the heavier figure.

Concrete estimation

Concrete is the most common reason people reach for a cubic yard calculator, and the one where accuracy matters most, because a partially poured slab cannot wait while you fetch more. Standard slab thicknesses are four inches for patios, walkways and shed bases, five to six inches for driveways and garage floors, and more for structural work. Footings are usually calculated as a separate rectangular volume and added to the slab.

The bagged-versus-delivered decision usually resolves itself around half a cubic yard. A yard of concrete takes 45 bags of 80 lb mix — more than most people want to mix by hand. Ready-mix suppliers typically have a one-yard minimum and charge a short-load fee below their truck minimum, so for small pours it is worth pricing both routes. Always order slightly over: subgrades are rarely perfectly level, and the low spots absorb more than you expect.

Gravel and crushed stone

Gravel is sold by the yard or the ton and is used for driveways, paths, drainage and as a sub-base under pavers and slabs. Typical depths are two to three inches for a decorative path, four inches for a residential driveway surface layer, and six to eight inches of compacted base under a driveway that will carry vehicles. Crushed stone with angular faces locks together and compacts better than rounded river gravel, which is why it is preferred for structural bases.

Compaction is the key adjustment. Loose gravel typically loses 10 to 20 percent of its volume once it is rolled or driven on, so ordering the exact calculated figure leaves you short of the finished depth. For any compacted base, add 15 to 20 percent rather than the usual 10.

Mulch and compost

Mulch is applied two to four inches deep — deep enough to suppress weeds and hold moisture, but not so deep that it smothers roots or piles against stems. One cubic yard covers roughly 108 square feet at three inches, or 162 square feet at two inches, which makes it easy to estimate a bed by area. Because mulch is so light, a yard is comfortably within a small trailer or pickup's capacity, though it will be a heaped load.

Bagged mulch is usually sold in two or three cubic foot bags, so a cubic yard is roughly nine to thirteen bags. Buying by the yard is almost always cheaper if you need more than about half a yard and can take a delivery.

Topsoil and fill dirt

Topsoil is the screened, organic-rich layer used for lawns, garden beds and levelling; fill dirt is the cheaper subsoil used for bulk grading where nothing needs to grow. For a new lawn, four to six inches of topsoil is a good target; for top-dressing an existing lawn, a quarter to half an inch is plenty. Raised beds are simply a rectangular volume — a 4 × 8 ft bed at 12 inches deep needs about 1.2 cubic yards.

Soil settles noticeably. Freshly delivered topsoil is loose and will drop several percent as it is watered in and compacts naturally, so order a margin above the finished depth you want.

Sand and base material

Sand appears as a one-inch bedding layer under pavers, as the fill in sandboxes and volleyball courts, and as a levelling course over compacted stone. Bedding sand should be coarse and angular rather than soft play sand, which shifts under load. The volumes are usually small — a one-inch layer over a 16 × 20 ft patio is only about one cubic yard — but the depth accuracy matters because an uneven bedding course telegraphs through the finished surface.

Truck capacity and delivery

Knowing what fits on a truck helps you plan and price a delivery. A half-ton pickup can carry roughly one cubic yard of mulch but should not carry a full yard of wet gravel or concrete, which would exceed its payload. A small dump truck handles about five cubic yards, a standard dump truck ten to twelve, and a tri-axle around sixteen. Ready-mix concrete trucks typically deliver up to nine or ten cubic yards per load.

Delivery is usually charged per trip, so an order that spills a small amount into a second load is disproportionately expensive. If you land just over a truckload, look at whether a slightly shallower depth — or splitting the job into phases — saves a whole delivery charge.

Waste, compaction and settling

Three separate effects mean the amount you order should exceed the amount you calculate. Waste covers spillage, uneven subgrade and material left in the truck or barrow — typically 5 to 10 percent. Compaction applies to aggregates and soils that will be mechanically compacted, and can consume 10 to 20 percent of loose volume. Settling affects organic materials like mulch and compost that decompose and slump over a season. Choose the waste percentage that matches your material and method rather than applying ten percent to everything.

Ordering like a professional

Measure twice, and measure the actual excavated or finished dimensions rather than the plan dimensions. Break irregular sites into simple rectangles and circles and add them up — the multiple-area tool above does exactly this. Round up to the increment your supplier sells in, which is often a quarter or half yard. Tell the supplier what the material is for, since they will often recommend a different grade or gradation than you asked for. And confirm access: a ten-yard truck needs room to tip, and the drop location determines how far you will be barrowing.

Common mistakes to avoid

  • Dividing by 3 or 9 instead of 27 — the single most common and most expensive error.
  • Leaving depth in inches in a formula that expects feet.
  • Confusing radius and diameter on circular areas, which quadruples the result.
  • Ignoring compaction on gravel and soil bases, leaving the finished depth short.
  • Ordering exactly the calculated figure with no waste margin.
  • Assuming weight from volume without checking the material's density — a yard of mulch and a yard of concrete differ by a factor of five.
Answers

Frequently asked questions

The questions people ask most about cubic yards. Tap any question to expand.

Multiply length × width × depth in feet, then divide by 27. If your depth is in inches, divide it by 12 first. For example, 10 × 10 ft at 4 in deep is 10 × 10 × 0.333 = 33.3 ft³, ÷ 27 = 1.23 cubic yards.
Exactly 27. A cubic yard is a cube three feet on each side, and 3 × 3 × 3 = 27 cubic feet. It is also 0.7646 cubic meters, 46,656 cubic inches, or about 765 liters.
It depends entirely on the material. Concrete is about 4,050 lb (2 tons), gravel around 2,800 lb, topsoil about 2,050 lb, and mulch as little as 800 lb per cubic yard. Wet material weighs 10–25% more than dry.
One cubic yard covers 324 ft² at 1 inch deep, 162 ft² at 2 in, 108 ft² at 3 in, 81 ft² at 4 in, and 54 ft² at 6 in. Divide 324 by your depth in inches to get the coverage in square feet.
45 bags of 80 lb mix, 60 bags of 60 lb, or 90 bags of 40 lb — because a cubic yard is 27 ft³ and an 80 lb bag yields about 0.60 ft³. Above roughly half a yard, ready-mix delivery is usually the better option.
Multiply the slab length × width × thickness in feet and divide by 27. A 10 × 10 ft slab at 4 in needs 1.23 yd³; a 20 × 20 ft garage floor at 6 in needs 7.4 yd³. Add 10% for uneven subgrade and spillage.
Allow about 4 inches of surface gravel over a compacted base. A 12 × 50 ft driveway at 4 in needs roughly 7.4 cubic yards. Because gravel compacts 10–20%, order about 15–20% extra rather than the usual 10%.
Two to four inches — enough to suppress weeds and hold moisture without smothering roots. One cubic yard covers about 108 ft² at 3 inches. Keep mulch pulled back from plant stems and tree trunks.
A pickup carries roughly 1–2 yd³ of light material, a small dump truck about 5, a standard dump truck 10–12, and a tri-axle around 16. Ready-mix concrete trucks deliver up to 9–10 yd³ per load.
Divide the cubic feet by 27. So 54 ft³ is 2 yd³, and 100 ft³ is about 3.7 yd³. To go the other way, multiply cubic yards by 27.
Multiply cubic meters by 1.308. So 10 m³ is about 13.1 yd³. Going the other way, multiply cubic yards by 0.7646 to get cubic meters.
Area = π × radius², where the radius is half the diameter. Multiply by the depth in feet and divide by 27. A 12 ft diameter circle at 4 in deep is 113 ft² × 0.333 ÷ 27 = 1.4 yd³. Select the circle shape above and the calculator does it for you.
A 4 × 8 ft bed filled 12 inches deep needs about 1.19 cubic yards. Multiply length × width × depth in feet and divide by 27, then add a little extra because soil settles once watered.
A yard is a length (3 feet); a cubic yard is a volume (27 cubic feet). When a supplier says "a yard of gravel" they mean a cubic yard. Square yards measure area and are different again.
Usually 5–10% for spillage and uneven ground. For gravel or soil that will be compacted, add 15–20% because loose material loses volume when rolled. For organic mulch and compost, allow for settling over the season.
Bulk by the cubic yard is almost always cheaper per unit volume once you need more than about half a yard, even after delivery. Bagged material makes sense for small jobs, awkward access, or when you cannot take a delivery.
About 9 loads with a standard 3 ft³ contractor barrow, or 14 loads with a smaller 2 ft³ barrow. It is worth knowing before you plan to move a delivery by hand.
For mulch or compost, yes — a yard weighs under half a ton. For gravel, sand, soil or concrete, a yard weighs 1–2 tons and will exceed the payload of most half-ton pickups. Check your vehicle's rating and split the load if in doubt.
Break it into simple rectangles, triangles and circles, calculate each separately, and add the results. The multiple area calculator on this page is built for exactly that, and gives one combined total.
Most bulk suppliers sell in quarter- or half-yard increments and will round your order up. Ready-mix concrete usually has a one-yard minimum with a short-load fee below the truck minimum, so ask before ordering a small pour.
The geometry and conversions are exact for the dimensions you enter. Real requirements vary with compaction, settling, moisture and how level your subgrade is — which is what the waste allowance covers. Confirm with your supplier before ordering.
Yes, completely free with no sign-up. You get cubic yards, cubic feet, cubic meters, weight in tons, bags, truckloads and cost across five shapes and ten materials, plus save, copy, share, CSV export and print.
Editorial

Author & reviewer

CC
Written by
CalculatorSearch Construction Team
Practical building & landscaping content, updated regularly. Reading time: ~14 min.
CE
Reviewed by
Concrete & excavation contractor
Reviewed for ordering accuracy and site practice. Last updated 2026. Replace with your named contractor or PE for full construction E-E-A-T.

Sources & references

American Concrete Institute (ACI)
Concrete proportioning and placement guidance.
NRMCA
Ready mixed concrete ordering, yields and delivery practice.
ASTM International
Standard test methods for aggregate density and unit weight.
U.S. Geological Survey (USGS)
Aggregate and construction material data.
Manufacturer material guides
Bag yields and product-specific coverage figures.
Local construction standards
Base depths and compaction requirements where applicable.
Disclaimer. This Cubic Yard Calculator provides estimates based on the dimensions, material type, density, and assumptions you enter. Actual material requirements may vary because of compaction, settling, moisture content, installation methods, and supplier specifications. Always verify measurements and consult your material supplier before ordering for construction or landscaping projects.