Free · No sign-up · Every shape

Cubic Yard Calculator for concrete, gravel, soil and mulch

Enter length, width and depth and get the volume in cubic yards, cubic feet and cubic metres plus estimated weight, material cost and a waste allowance so you order the right amount the first time.

  • Rectangle, circle, triangle and trapezoid areas mix feet, inches, yards, cm or metres.
  • Pick a material for instant weight in tons and total cost.
  • Adds a waste % and rounds up to the nearest quarter yard, the way suppliers sell.
3 ft 3 ft 3 ft
1 yd³ = 3×3×3 = 27 ft³
Length W D
yd³ = L × W × D ÷ 27

Rectangle: area = length × width. Depth in inches is common for mulch and gravel the calculator converts it for you.

0cubic yards
Cubic feet
Cubic metres
Area
Est. weight
The formula

How to calculate cubic yards (and why you divide by 27)

A cubic yard is a cube three feet on every side, so it holds 3 × 3 × 3 = 27 cubic feet. That single fact is the whole calculation: get your volume in cubic feet, then divide by 27.

If your measurements are in feet

Cubic yards = (Length ft × Width ft × Depth ft) ÷ 27

Multiply the three dimensions to get cubic feet, then divide by 27. A patio 15 ft long, 12 ft wide and 0.5 ft (6 in) thick is 15 × 12 × 0.5 = 90 ft³ ÷ 27 = 3.33 cubic yards.

If the depth is in inches

Cubic yards = (Length ft × Width ft × Depth in) ÷ 324

The 324 shortcut folds both conversions into one step 12 (inches to feet) × 27 (feet to yards) = 324 so you can leave a shallow mulch or gravel depth in inches. It gives exactly the same answer as dividing by 27 after converting.

Measuring in metres instead? Multiply length × width × depth in metres for cubic metres, then multiply by 1.308 to get cubic yards. The calculator handles every unit above automatically.
Length Depth Width
Volume = area of the top face × depth. Keep every dimension in the same unit before you multiply.
Step by step

Work out any project in four steps

The method is identical for concrete, gravel, topsoil, sand or mulch only the depth and the material change.

1

Measure length & width

Measure the area you are filling in feet. For an odd shape, split it into rectangles and add them, or use the circle and triangle tabs.

2

Choose the depth

Decide how deep the material goes. Mulch is usually 2–3 inches, a gravel base 4 inches, a concrete slab 4–6 inches, fill dirt 6–12 inches.

3

Multiply, then ÷ 27

Length × width × depth gives cubic feet; dividing by 27 gives cubic yards. The calculator does this and shows cubic feet and metres too.

4

Add ~10% for waste

Loose material settles and spills, so order a little extra and round up to the nearest quarter yard most suppliers sell in those increments.

Every shape

Cubic yards for rectangles, circles, triangles and trapezoids

The depth step never changes only the way you find the area. Switch tabs at the top of the calculator to match your project; here is what each one does.

ShapeArea formulaThenTypical use
Rectangle / squareLength × Width× depth ÷ 27Slabs, beds, driveways
Circleπ × (Diameter ÷ 2)²× depth ÷ 27Patios, tree rings, tanks
Triangle(Base × Height) ÷ 2× depth ÷ 27Corner beds, gore lots
Trapezoid((A + B) ÷ 2) × Height× depth ÷ 27Tapered beds, embankments

A note on cylinders and round holes

A “cylinder” or “column” volume a round footing or post hole is just the circle area times the depth (the height of the hole). Enter the hole’s diameter on the circle tab and its depth in the depth field, and the cubic yards are the concrete you need to fill it.

For a round bed or patio you fill only a shallow layer, so the depth is small; for a footing the depth is the full height. Same formula, very different numbers.

Diameter Depth
Circle: area = π × radius², and the radius is half the diameter you measure across the middle.
Depth & square feet

Depth conversions and square-feet shortcuts

Most depths are given in inches. Tap a common depth to drop it into the calculator, or use the coverage figures to see how far one cubic yard spreads.

Depth1 yd³ coversFor 100 sq ft you need
1 inch324 sq ft0.31 yd³
2 inches162 sq ft0.62 yd³
3 inches108 sq ft0.93 yd³
4 inches81 sq ft1.23 yd³
6 inches54 sq ft1.85 yd³
12 inches27 sq ft3.70 yd³

Converting square feet to cubic yards

If you already know your area in square feet, you only need the depth. Multiply the square footage by the depth in feet to get cubic feet, then divide by 27.

yd³ = (Square feet × Depth ft) ÷ 27

Example: a 200 sq ft area at 4 inches deep. Depth is 4 ÷ 12 = 0.33 ft, so 200 × 0.33 = 66.7 ft³ ÷ 27 = 2.47 cubic yards. On the calculator, enter your length and width (or a 200 × 1 rectangle) and set the depth to 4 inches.

Weight & cost

What a cubic yard of each material weighs

Volume tells you how much to order; weight tells you whether your truck or trailer can carry it. These are typical figures moisture and mix change them, so treat them as estimates.

MaterialWeight per yd³≈ Tons per yd³Common depthOrder extra
Concrete~3,900 lb~1.954–6 in slab5%
Gravel / crushed stone~2,835 lb~1.44 in base10%
Topsoil~2,160 lb~1.084–6 in10%
Mulch (wood)~1,000 lb~0.52–3 in10%
Sand~2,700 lb~1.351–2 in bedding10%
Fill dirt~2,200 lb~1.16–12 in10%

Pick any of these in the calculator’s material menu and it estimates total weight in tons and, if you add a price per cubic yard, the total cost both after the waste allowance.

By project

Common cubic yard jobs

Each of these opens the calculator ready for that material adjust the numbers to your site.

Concrete slab

Driveways, footings and patios. Order to the nearest quarter yard; ready-mix has minimums.

Calculate concrete →

Gravel base

Driveways, paths and paver bases. A 4-inch compacted layer is typical.

Calculate gravel →

Topsoil & garden beds

Raised beds and lawns. 4–6 inches of screened soil for most planting.

Calculate topsoil →

Mulch

Beds and tree rings. 2–3 inches suppresses weeds without smothering roots.

Calculate mulch →
More from Toolesh

Other free calculators

No sign-up, no limits they run right in your browser.

FAQ

Cubic yard questions, answered

How do I calculate cubic yards?
Measure length, width and depth in feet, multiply them together for cubic feet, then divide by 27 (one cubic yard = 27 cubic feet). If the depth is in inches, divide it by 12 first, or use the one-step shortcut (length ft × width ft × depth inches) ÷ 324.
Why do you divide by 27?
A cubic yard is a cube three feet on each side, and 3 × 3 × 3 = 27 cubic feet. So once your measurements are in feet, dividing the cubic feet by 27 converts the volume to cubic yards. It’s an exact definition, not an approximation.
How many cubic feet are in a cubic yard?
Exactly 27. A cubic yard measures 3 ft × 3 ft × 3 ft, which is 27 cubic feet, and about 0.7646 cubic metres.
How do I convert square feet to cubic yards?
Multiply the square footage by the depth in feet to get cubic feet, then divide by 27. For example, 200 sq ft at 4 inches (0.33 ft) deep is 66.7 cubic feet ÷ 27 = 2.47 cubic yards.
How much does a cubic yard weigh?
It depends on the material: concrete is roughly 2 tons per cubic yard, gravel about 1.4 tons, topsoil around 1.1 tons and wood mulch about half a ton. Moisture changes these, so use them as estimates the calculator works out weight once you choose a material.
How much extra should I order for waste?
Loose materials settle and some is lost while spreading, so 5–10% extra is normal, then round up to the next quarter or half cubic yard. The calculator adds a waste allowance (5% for concrete, 10% for loose materials by default) and shows the rounded order quantity.
Is there a cubic yard calculator app?
This page works like an app on any phone or tablet with no install add it to your home screen for a one-tap icon. It handles feet, inches, yards, centimetres and metres, so you don’t need a separate converter.

Order the right amount, the first time

Enter your dimensions, pick a material, and get cubic yards, weight and cost with a built-in waste allowance.

Estimates are for planning only. Material weights and densities vary with moisture, compaction and supplier; always confirm quantities and delivery minimums with your supplier before ordering. Calculations run entirely in your browser.