CY Calculator

Cubic Yard Calculator

Free online cubic yard calculator. Pick a shape, enter its size and depth, and calculate cubic yards, feet and meters instantly.

Enter Your Measurements to Calculate Cubic Yards

Optional: quantity, waste & cost

Quantity is the number of identical areas. Waste is your own allowance; blank means 0%.

Cost is based on the total volume including waste.

Enter your dimensions, then press Calculate.

Rectangle3D view
LWD
  • LLength—
  • WWidth—
  • DDepth / height—

Area = length × width · Volume = area × depth

What Is a CY Calculator?

People often ask, “What is CY calculator?” or “What is a CY calculator?” The answer is simple: CY calculator stands for cubic yard calculator. It turns the length, width and depth of a space into a volume in cubic yards, the unit landscape yards, quarries and concrete plants use to sell bulk material. You give it your measurements, and it tells you how much soil, mulch, gravel, sand or concrete fills that space.

In short, CY is a cubic yard calculator. CY Calculator is also the name of this website, and the cubic yard calculator at the top of this page is the one the name refers to.

What does CY stand for?

CY is short for cubic yard. You will see it on delivery tickets, supplier price lists and contractor estimates, often written as “5 CY of topsoil” or “$45 per CY.” The same unit also appears as yd³, cu yd or simply “yards” when people talk about bulk material. One CY equals 27 cubic feet, the space inside a box 3 feet long, 3 feet wide and 3 feet high.

How big is a cubic yard?

It helps to picture the unit before you order. Set that 3 foot box next to an adult and it comes up to about hip height. To see how far it spreads at different depths, read our guide to how much area one cubic yard covers.

One cubic yard: a 3 ft cube made of 27 smaller cubes, about hip high next to a person 6 ft tall
cubic feet
27
cubic inches
46,656
cubic meters
0.765
wheelbarrows (6 ft³)
≈ 4½
The grid shows what is inside: 3 cubes across, 3 deep and 3 high, each one foot on a side. That makes 27 cubic feet, which is why you divide cubic feet by 27 to get cubic yards.

Is a CY calculator the same as a cubic yard calculator?

Yes. The two names describe the same tool, and this page is both. Some people search for a CY calculator because that is the abbreviation printed on their quote; others search for a cubic yards calculator or a yardage calculator. Whichever name you use, the math is the same: multiply length × width × depth in feet, then divide by 27.

How to Calculate Cubic Yards With This Online Calculator

This free cubic yard calculator is built for the moment you are standing in the yard with a tape measure and a delivery to book. There is nothing to install, nothing to sign up for, and your numbers never leave your browser (the privacy policy explains). Here is the short route:

  1. Pick the shape closest to your space. Rectangle covers most beds, slabs and trenches, and circle suits planters and round pads. If you already know the square footage, choose Known Area.
  2. Type each measurement and choose its unit from the dropdown next to it. Feet, inches, yards, millimeters, centimeters and meters can be mixed in one calculation.
  3. Enter the depth or thickness. It is the number people forget, and without it you only have an area.
  4. Open the optional section if you need it. You can set a quantity for repeated areas, add a waste percentage of your own, and enter a price to see an estimated cost.
  5. Press Calculate and read the result card. Cubic yards come first, followed by cubic feet and cubic meters, with a one line breakdown so you can check the arithmetic yourself.

Change a depth and press Calculate again to compare totals before you place an order. Every common unit works, so you never need to convert anything before typing.

Cubic Yard Calculation Formula

Behind the screen, the cubic yard calculation is the same sum you would do on paper. Multiply the area by the depth to get cubic feet, then divide by 27, the number of cubic feet in one cubic yard.

Cubic feet = area (ft²) × depth (ft)

Cubic yards = cubic feet ÷ 27

For a rectangle the area is simply length × width. A patio base 16 ft long and 12 ft wide, laid 4 inches deep, holds 16 × 12 × (4 ÷ 12) = 64 cubic feet, which is 2.37 cubic yards. That sum is the whole cubic yards formula; the calculator simply applies it to any shape. Want to see how to calculate a cubic yard from scratch? The step by step guide to calculating cubic yards covers the method, a shortcut for inches, and the mistakes that cost people money.

Calculate Cubic Yard Volume for Any Shape

Real spaces are rarely perfect rectangles, so the calculator handles the geometry for you. It finds the area of your shape first and then applies the depth. These are the shapes it supports, the formula behind each one and a worked example.

LWD

Rectangle

Beds, slabs, driveways and trenches.

Area = L × W

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

L = length (ft) · W = width (ft) · D = depth (in)

Example: L = 20 ft, W = 10 ft, D = 4 in. Area = 200 ft². Volume = 200 × 4 ÷ 12 = 66.67 ft³, which is 2.47 yd³.

SSD

Square

Square pads, planters and footings.

Area = S × S

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

S = side length (ft) · D = depth (in)

Example: S = 8 ft, D = 6 in. Area = 64 ft². Volume = 64 × 6 ÷ 12 = 32 ft³, which is 1.19 yd³.

ØD

Circle

Round beds, pads and planters.

Area = π × (Ø ÷ 2)²

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

Ø = diameter (ft) · D = depth (in)

Example: Ø = 10 ft, D = 3 in. Area = 78.54 ft². Volume = 78.54 × 3 ÷ 12 = 19.64 ft³, which is 0.73 yd³.

BHD

Triangle

Corner beds and plots that narrow to a point.

Area = ½ × B × H

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

B = base (ft) · H = triangle height (ft) · D = depth (in)

Example: B = 12 ft, H = 8 ft, D = 4 in. Area = 48 ft². Volume = 48 × 4 ÷ 12 = 16 ft³, which is 0.59 yd³.

B₁B₂HD

Trapezoid

Tapered beds and flared driveway entrances.

Area = ½ × (B₁ + B₂) × H

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

B₁ = base 1 (ft) · B₂ = base 2 (ft) · H = trapezoid height (ft) · D = depth (in)

Example: B₁ = 16 ft, B₂ = 10 ft, H = 8 ft, D = 3 in. Area = 104 ft². Volume = 104 × 3 ÷ 12 = 26 ft³, which is 0.96 yd³.

LWbD

Rectangle Border

A strip around a lawn, patio or pool.

Area = (L + 2b) × (W + 2b) − L × W

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

L = inner length (ft) · W = inner width (ft) · b = border width (ft) · D = depth (in)

Example: L = 20 ft, W = 12 ft, b = 2 ft, D = 3 in. Area = 144 ft². Volume = 144 × 3 ÷ 12 = 36 ft³, which is 1.33 yd³.

ØbD

Circle Border

A band around a round bed or fire pit.

Area = π × ((Ø ÷ 2 + b)² − (Ø ÷ 2)²)

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

Ø = inner diameter (ft) · b = border width (ft) · D = depth (in)

Example: Ø = 10 ft, b = 2 ft, D = 3 in. Area = 75.4 ft². Volume = 75.4 × 3 ÷ 12 = 18.85 ft³, which is 0.7 yd³.

Ø₂Ø₁D

Annulus (Ring)

A ring around a tree trunk or round planter.

Area = π ÷ 4 × (Ø₁² − Ø₂²)

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

Ø₁ = outer diameter (ft) · Ø₂ = inner diameter (ft) · D = depth (in)

Example: Ø₁ = 8 ft, Ø₂ = 2 ft, D = 3 in. Area = 47.12 ft². Volume = 47.12 × 3 ÷ 12 = 11.78 ft³, which is 0.44 yd³.

AD

Known Area

Any space whose square footage you already know.

Area = A (already measured)

Volume (ft³) = Area × D ÷ 12

Cubic yards = Volume ÷ 27

A = area (ft²) · D = depth (in)

Example: A = 500 ft², D = 2 in. Area = 500 ft². Volume = 500 × 2 ÷ 12 = 83.33 ft³, which is 3.09 yd³.

Borders and rings

A border is handy for a strip of mulch around a lawn or a concrete collar around a pad. Enter the inner size and the border width, and the calculator does the subtraction. A ring (annulus) covers round planters and hollow round pours.

Irregular areas

Split the space into pieces that match the shapes above, calculate each one, and add the cubic yards together. If several pieces are identical, the quantity field multiplies them for you.

Cubic Yard Calculation Examples

These examples were produced by the same code that powers the calculator above, so you can enter the same numbers and compare.

Mixed units: 20 ft × 10 ft × 3 in

A thin layer over a rectangular area. The 3 inch depth is converted to 0.25 ft before anything is multiplied.

200 ft² × 0.25 ft = 50 ft³ ÷ 27 = 1.85 yd³

Raised bed: 12 ft × 4 ft × 6 in, with a 10% cushion

The 10% is an allowance you choose yourself for settling and spillage. Leave the field empty and nothing is added.

48 ft² × 0.5 ft = 24 ft³ ÷ 27 = 0.89 yd³

With 10% allowance: 0.98 cubic yards

Round planter: 8 ft across, 12 in deep

A circle's area is π × (diameter ÷ 2)², here π × 4² ≈ 50.27 ft², which is then multiplied by the depth.

50.2655 ft² × 1 ft = 50.27 ft³ ÷ 27 = 1.86 yd³

Metric: 3 m × 2 m × 10 cm

Metric measurements are converted to feet internally (1 m = 3.2808 ft). The answer is 0.6 m³, shown in yards, feet and meters.

64.5835 ft² × 0.3281 ft = 21.19 ft³ ÷ 27 = 0.78 yd³

Using yards: 6 yd × 2 yd × 18 in

Each length becomes feet first (18 ft × 6 ft × 1.5 ft). It comes to exactly 6 cubic yards.

108 ft² × 1.5 ft = 162 ft³ ÷ 27 = 6 yd³

Cubic Yards to Feet and Other Conversions

Plenty of people look for a cubic yards to feet calculator when what they need is cubic yards to cubic feet. That is a straight multiplication: cubic feet = cubic yards × 27, so 3 cubic yards is 81 cubic feet.

Cubic yards in cubic feet and cubic meters
Cubic yardsCubic feetCubic meters
0.256.750.19
0.513.50.38
1270.76
2541.53
51353.82
102707.65

How far one cubic yard stretches

Coverage is 27 divided by the depth in feet, so a thin layer spreads a surprisingly long way.

Area covered by one cubic yard at different depths
Depth1 cubic yard covers
1 in324 sq ft
2 in162 sq ft
3 in108 sq ft
4 in81 sq ft
6 in54 sq ft
12 in27 sq ft

Sometimes the question is length rather than area. For a trench or a strip, divide the volume by width times depth. One cubic yard (27 ft³) spread 3 ft wide and 4 inches deep runs 27 feet.

Who Uses a Cubic Yard Estimator?

Homeowners and gardeners

Topping up beds, filling a raised planter or laying a new lawn all come down to the same question: how many yards? The Mulch Calculator adds bag counts, and the Topsoil Calculator adds weight in tons. Our guide to how much mulch you need works through a whole front garden.

Landscapers and contractors

Quoting a job means converting dimensions into a quantity quickly and consistently. For base material, the Gravel Calculator and Sand Calculator let you enter the density your supplier quotes.

DIY builders pouring concrete

A slab or footing is a volume problem first and a bag count problem second. The Concrete Calculator converts yards into 40, 60 and 80 lb bags, and our guide to estimating concrete for a slab covers thickened edges and footings.

How Accurate Is This Cubic Yard Calculator?

The math is exact. Lengths are converted with fixed definitions (1 ft = 12 in = 0.3048 m, 1 yd = 3 ft), the full precision result is kept internally, and only the number you see is rounded to two decimals. The limit on accuracy is the real world: ground slopes, soil settles, gravel compacts and edges wander. Treat the result as a solid starting point and confirm it with your supplier, who knows how their material behaves.

Quick Tips Before You Order

  • Measure the depth in more than one spot and use the average if the ground is uneven.
  • Decide on the depth first. Recommendations differ between mulch, soil, gravel and concrete.
  • Use the waste field for your own cushion. The calculator never adds one on its own, so a blank field means the exact volume.
  • If your supplier sells by weight, use the gravel, topsoil or sand calculator, which also show tons.
  • Copy the breakdown line from the result card into your quote request so the supplier can check it.

Cubic Yard Calculator FAQ

What does CY mean in CY calculator?

CY stands for cubic yard, so a CY calculator is a cubic yard calculator. It works out how many cubic yards of material a space needs from its length, width and depth.

How do I read CY on a supplier quote?

Treat CY as cubic yards. A quote for 4 CY of mulch means 4 cubic yards, or 108 cubic feet. Enter your measurements above to check the quantity before you order.

What is a cubic yard?

It is the volume of a cube that measures 3 feet along each edge: 3 × 3 × 3 = 27 cubic feet, or about 0.7646 cubic meters. Soil, mulch, gravel, sand and concrete are commonly sold by this unit.

How do I calculate cubic yards by hand?

Convert length, width and depth to feet, multiply them to get cubic feet, then divide by 27. The cubic yard calculation guide shows the steps with more examples and a shortcut for depths in inches.

How many cubic feet are in a cubic yard?

There are 27. Multiply cubic yards by 27 to get cubic feet, or divide cubic feet by 27 to go the other way.

Is this cubic yard calculator free?

Yes. It is a free cubic yard calculator, and it works as a cubic yards calculator online with nothing to download, no account to create and no limit on how many estimates you run.

What is the difference between a cubic yard and a square yard?

A square yard measures area (9 square feet) and a cubic yard measures volume (27 cubic feet). Bulk materials are sold by volume, while flooring and turf are usually priced by area.

Can I use it as a yardage calculator for flooring or fabric?

Those jobs need area, not volume, so use the Square Feet Calculator. It also shows the result in square yards.

Does it work in metric?

Yes. Pick meters, centimeters or millimeters for any field and the result is converted exactly. Cubic meters are shown next to cubic yards.

How many cubic yards fit in a pickup truck?

A standard pickup with a 6.5 ft bed holds about 2 cubic yards of light material such as mulch when it is filled level. Heavy material is limited by the truck's payload rather than the bed: a light pickup can usually carry only about half a cubic yard of gravel or wet soil safely. Check the payload rating on the door sticker before you load up.

What if my space is not a simple shape?

Break it into rectangles, circles or triangles, calculate each piece, and add the cubic yards together. The quantity field saves time when several pieces are the same size.

See all calculators and which one fits your project →