Quick Answer
A 10 x 10 foot slab at 4 inches thick requires approximately 1.23 cubic yards of concrete, or about 56 bags of 80 lb premix.
Common Examples
| Input | Result |
|---|---|
| Slab: 10 ft x 10 ft x 4 in | 33.33 cu ft, 1.23 cu yd, 75 bags (60 lb), 56 bags (80 lb) |
| Slab: 20 ft x 20 ft x 6 in | 200 cu ft, 7.41 cu yd, 445 bags (60 lb), 334 bags (80 lb) |
| Column: 12 in diameter x 48 in tall | 3.14 cu ft, 0.12 cu yd, 7 bags (60 lb), 6 bags (80 lb) |
| Stairs: 5 steps, 7.5 in rise, 10 in run, 36 in wide | 6.51 cu ft, 0.24 cu yd, 15 bags (60 lb), 11 bags (80 lb) |
How It Works
The Formulas
Rectangular Slab:
Volume (cu ft) = Length (ft) x Width (ft) x Depth (in) / 12
This is the most common concrete calculation. The depth is divided by 12 to convert inches to feet so all dimensions share the same unit.
Cylindrical Column:
Volume (cu ft) = pi x (Diameter in inches / 24)^2 x (Height in inches / 12)
The diameter is divided by 24 (converting inches to feet and halving to get the radius). This formula covers round post holes, sonotube forms, and cylindrical footings.
Stairs:
Stair volume is calculated by summing the volume of each progressive step. Each step has a volume equal to the cumulative rise up to that step times the run times the width. The total is the sum of all individual step volumes.
Unit Conversions
- Cubic Yards = Cubic Feet / 27 (ready-mix concrete is sold by the cubic yard)
- 60 lb bags each yield approximately 0.45 cubic feet of mixed concrete
- 80 lb bags each yield approximately 0.60 cubic feet of mixed concrete
Ordering Tips
For small projects (under 1 cubic yard), premixed bags from a home improvement store are practical. For larger pours, ordering ready-mix concrete by the truck is more economical. Most ready-mix companies have a minimum order of 1 cubic yard. Adding 5% to 10% extra to the calculated volume accounts for spillage, uneven subgrade, and slight form variations.
Worked Example
For a patio slab measuring 10 feet by 10 feet at 4 inches thick: Volume = 10 x 10 x (4 / 12) = 10 x 10 x 0.333 = 33.33 cubic feet. In cubic yards: 33.33 / 27 = 1.23 cubic yards. In 80 lb bags: 33.33 / 0.60 = 55.56, rounded up to 56 bags. In 60 lb bags: 33.33 / 0.45 = 74.07, rounded up to 75 bags. Adding 10% for waste brings the estimate to approximately 1.36 cubic yards or 61 bags of 80 lb premix.
Related Calculators
Frequently Asked Questions
How many bags of concrete do I need for a 10 x 10 slab?
How do I convert cubic feet to cubic yards?
What thickness should a concrete slab be?
How much extra concrete should I order?
Can I use this calculator for post holes?
Learn More
How to calculate concrete for any project
Concrete is sold by the cubic yard. Convert your slab, footing, or sonotube dimensions to cubic yards with the formula and a worked example for each.
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