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How to Calculate Concrete in Cubic Yards

The formula, step-by-step examples for every project type, a quick reference table, and answers to the most common concrete calculation questions — all in one place.

To calculate concrete, multiply Length × Width × (Thickness in inches ÷ 12) to get cubic feet, then divide by 27 to convert to cubic yards. That's the complete formula. Everything below shows you how to use it for real projects.

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The Concrete Formula

Concrete is ordered and priced by the cubic yard (CY). One cubic yard equals 27 cubic feet — a block 3 feet wide, 3 feet long, and 3 feet tall. Here is the two-step formula every contractor uses:

Step 1 — Cubic Feet Volume (cu ft) = Length (ft) × Width (ft) × (Thickness in inches ÷ 12) Step 2 — Cubic Yards Cubic Yards (CY) = Volume (cu ft) ÷ 27 Step 3 — Add Waste Order Quantity = CY × 1.05 (5% waste for regular slabs)

Why divide by 27? One yard = 3 feet, so 1 cubic yard = 3 × 3 × 3 = 27 cubic feet. This is the same unit ready-mix suppliers use when they quote a job. Always confirm your contractor is quoting in cubic yards, not linear yards or square yards.

Always add 5–10% for waste. Final order = CY × 1.05 to 1.10. This covers spillage, uneven subgrade, and concrete remaining in the ready-mix truck. Running short mid-pour creates a cold joint — a visible seam that is a structural weak point and cannot be undone.
Step by Step

How to Calculate Concrete — Worked Examples

Example 1 — Concrete Patio (12 × 10 ft, 4 inches thick)

A backyard patio, 5% waste, ready-mix order

Worked Calculation
Area12 × 10 = 120 sq ft
Thickness convert4 ÷ 12 = 0.333 ft
Cubic feet120 × 0.333 = 40 cu ft
+ 5% waste40 × 1.05 = 42 cu ft
Cubic yards42 ÷ 27 = 1.56 CY

Order: 1.6 cubic yards of concrete

Plan your gravel sub-base before pouring — typically 4 inches of compacted crushed stone under a patio slab.

Example 2 — Concrete Driveway (20 × 10 ft, 4 inches thick)

Single-car driveway section, 5% waste

Worked Calculation
Area20 × 10 = 200 sq ft
Thickness convert4 ÷ 12 = 0.333 ft
Cubic feet200 × 0.333 = 66.67 cu ft
+ 5% waste66.67 × 1.05 = 70 cu ft
Cubic yards70 ÷ 27 = 2.59 CY

Order: 2.6 cubic yards of concrete

Heavy-vehicle driveways should use 6-inch depth. For a full driveway cost breakdown, see our Driveway Cost Calculator.

Example 3 — Sonotube Footing (12-inch diameter, 3.5 ft deep, 6 tubes)

Deck footings — cylinder formula applies here

Cylinder Formula for Round Footings Volume (cu ft) = π × radius² × height Radius = Diameter ÷ 2 ÷ 12 (convert inches to feet)
Worked Calculation — 6 Tubes
Radius(12 ÷ 2) ÷ 12 = 0.5 ft
Volume per tubeπ × 0.5² × 3.5 = 2.75 cu ft
6 tubes total2.75 × 6 = 16.49 cu ft
+ 5% waste16.49 × 1.05 = 17.32 cu ft
Cubic yards17.32 ÷ 27 = 0.64 CY

Order: ~39 bags of 60 lb concrete (bagged is best under 1 CY)

Under 1 cubic yard? Most ready-mix suppliers charge a short-load fee for small orders. For sonotube footings under 1 CY, mixing bagged concrete on-site is usually faster and cheaper. Our Concrete Calculator shows you the exact bag count for any tube size.

What Is a Cubic Yard (CY) of Concrete?

One cubic yard of concrete is a block 3 feet × 3 feet × 3 feet — roughly the size of a washing machine. When a contractor says "order 3.5 yards," they mean 3.5 cubic yards — not linear yards or square yards. Here is what 1 CY looks like in practice:

What You're Asking The Answer
Coverage at 4" thick~81 square feet per CY
Coverage at 6" thick~54 square feet per CY
Weight of 1 CY~4,000 lbs (2 tons) wet
80 lb bags per CY~45 bags (0.60 cu ft per bag)
60 lb bags per CY~60 bags (0.45 cu ft per bag)
Standard ready-mix truck8–10 CY per load

For anything over 1 cubic yard, a ready-mix truck is almost always faster and cheaper per yard than buying and mixing bags. Under 1 CY — especially for sonotube footings — bagged concrete mixed on-site is the practical choice for most homeowners and contractors.

Reference Table

Concrete Cubic Yards by Area and Thickness

Find your square footage on the left, then read across to your pour thickness. Numbers shown are net volume — add 5–10% when placing your order.

Area (sq ft) 3" Thick 4" Thick 5" Thick 6" Thick
50 sq ft0.46 CY0.62 CY0.77 CY0.93 CY
100 sq ft0.93 CY1.23 CY1.54 CY1.85 CY
150 sq ft1.39 CY1.85 CY2.31 CY2.78 CY
200 sq ft1.85 CY2.47 CY3.09 CY3.70 CY
300 sq ft2.78 CY3.70 CY4.63 CY5.56 CY
400 sq ft3.70 CY4.94 CY6.17 CY7.41 CY
500 sq ft4.63 CY6.17 CY7.72 CY9.26 CY
750 sq ft6.94 CY9.26 CY11.57 CY13.89 CY
1,000 sq ft9.26 CY12.35 CY15.43 CY18.52 CY
Need an Exact Number?

Our free calculator handles any dimension — including irregular shapes, sonotube footings, and multiple sections.

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By Project Type

How to Calculate Concrete for Common Projects

Concrete Driveway

Residential driveways are poured at 4 inches thick for standard passenger vehicles. If RVs, trucks, or heavy loads will use the driveway, go to 5 or 6 inches. Measure the full length and width including the garage apron and any street flare. For an irregular driveway, break it into rectangles, calculate each section, and add the totals. Always plan your compacted gravel sub-base — typically 4 to 6 inches — before setting forms.

Considering asphalt instead? Use our Asphalt Calculator to compare tonnage and cost for the same area.

Concrete Patio

A backyard patio is typically 4 inches of concrete — enough for foot traffic, outdoor furniture, and a gas grill. If you're adding a hot tub or heavy planter, pour at 5 or 6 inches. For an L-shaped patio, divide it into two rectangles, calculate each one, and add both totals together.

Concrete Sidewalk or Walkway

Sidewalks pour at 4 inches for residential use. A standard walkway is 3 to 4 feet wide. Example: a 40-foot long, 4-foot wide walkway at 4 inches thick — 40 × 4 × (4 ÷ 12) = 53.33 cu ft ÷ 27 = 1.97 CY. Order 2.1 CY after adding the 5% waste factor.

Concrete Footing or Column

Round footings use the cylinder formula (π × r² × height). Spread footings use the standard rectangle formula. The critical variable is depth — always check your local building code for the required frost depth, which ranges from 18 inches in warm southern climates to 48 inches in northern states. Use the Sonotube tab in our Concrete Calculator — it handles round tubes automatically.

Concrete Steps

Steps are the trickiest to estimate by hand because each tread and riser is a different volume. Treat each step as a solid rectangle: length × tread depth × riser height. Calculate each step separately, then add them all together. Include the landing pad at the bottom if you're pouring one.

Garage Floor

Garage floors are poured at 4 to 6 inches thick. Use 4 inches for a standard two-car garage on stable soil. If you plan to park heavy trucks or use the floor as a workshop with heavy equipment, pour at 6 inches. A properly compacted sub-base is especially important for garage floors — soft or wet soil under a garage slab is the most common cause of cracking.

Cubic Feet vs Cubic Yards — When to Use Each

Ready-mix concrete suppliers and contractors always quote in cubic yards. Bagged concrete from a home improvement store lists yield in cubic feet. Here is a quick guide:

SituationUnitWhy
Ready-mix truck orderCubic yards (CY)Suppliers price by the yard
Bagged concrete (store)Cubic feetBags list yield in cubic feet
Building permit drawingsCubic yardsStandard unit in construction
Contractor quoteCubic yardsConfirm it's CY — not tons

To convert: cubic feet ÷ 27 = cubic yards. Going the other way: cubic yards × 27 = cubic feet.

How many 80 lb bags per cubic yard? One 80 lb bag yields about 0.60 cubic feet. One cubic yard = 27 cubic feet. So you need roughly 45 bags of 80 lb per cubic yard. A 60 lb bag yields 0.45 cubic feet — about 60 bags per yard. Bag yield varies slightly by brand — always check the label.

How Much Extra Concrete Should You Order?

Always order more than your exact calculation. The standard is 5% for regular rectangular slabs and 10% for irregular shapes or uneven ground. Here is why:

  • Subgrade is never perfectly flat — low spots add volume you didn't calculate
  • Concrete stays in the truck — ready-mix trucks can't fully empty; some concrete is always returned
  • Spillage during the pour — chutes and buckets always lose a little
  • Form boards can shift — if a form moves, you need extra concrete to fill the gap
  • Edge losses — irregular perimeters waste more than a clean rectangle
Waste Factor Formula Order Quantity = Calculated CY × 1.05 (regular slabs) Order Quantity = Calculated CY × 1.10 (irregular shapes) Example: 3.47 CY × 1.05 = 3.64 CY → round up to 3.75 CY

Running out of concrete mid-pour is one of the most expensive mistakes on a job. The extra concrete you don't use costs far less than a cold joint repair or tearing out a partially cured slab and starting over.

FAQ

Concrete Calculation — Common Questions

10 × 10 = 100 sq ft × (4 ÷ 12) = 33.33 cu ft ÷ 27 = 1.23 cubic yards. Add 5% waste and order 1.30 CY. At 6 inches thick, that becomes 1.85 CY before waste — order 1.95 CY.

20 × 20 = 400 sq ft × (4 ÷ 12) = 133.3 cu ft ÷ 27 = 4.94 cubic yards. With 5% waste, order 5.19 CY — your supplier will likely round to 5.25 or 5.5 CY. Use our Concrete Calculator for the exact figure.

30 × 30 = 900 sq ft × (4 ÷ 12) = 300 cu ft ÷ 27 = 11.11 CY. Add 5% waste and order 11.67 CY — round to 12 CY. At 6 inches thick, that jumps to 16.67 CY net, order 17.5 CY.

"Cement yards" and "concrete yards" mean the same thing in everyday usage — both refer to cubic yards of mixed concrete. The formula: CY = (L × W × Thickness in inches ÷ 12) ÷ 27. Technically, cement is just one ingredient in concrete (mixed with sand, gravel, and water), but the terms are used interchangeably on job sites and by suppliers.

Break the irregular area into rectangles. Calculate each rectangle separately using the standard formula (L × W × thickness ÷ 12 ÷ 27), then add all the totals together. For this type of project, use a 10% waste factor instead of the standard 5% — irregular perimeters always waste more concrete than a clean rectangle.

Always estimate high, then add the waste factor on top. Running short mid-pour forces you to stop — the concrete already placed begins to cure, and when the second load arrives you get a cold joint: a visible seam that is a structural weak point. Leftover concrete can go into a post hole, a small footing, or a garden path. Cold joints cannot be fixed without removing and reporing the slab.

For rectangular spread footings, use the standard formula: L × W × (depth ÷ 12) ÷ 27. For round sonotube footings, use the cylinder formula: π × (diameter ÷ 2 ÷ 12)² × depth in feet ÷ 27. Multiply by the number of tubes, then add 5% waste. The Sonotube tab in our free calculator handles all of this automatically.

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