Concrete Calculator
Bag yields are the figures printed by the major US manufacturers, and the volume follows from the dimensions you enter. Forms bulge, subgrade is never flat and over-excavation is normal, so order the waste allowance rather than the exact volume and expect to use it. Anything structural, load bearing or permitted needs its concrete mix and its thickness specified by a licensed engineer.
How this is calculated
Every figure below is read from the code that produces the answer, so what is written here is what the calculator ran. The constants were last checked against their sources in September 2026.
The arithmetic
Rectangular Slab Volume
Volume (cu ft) = Length × Width × (Thickness ÷ 12)
- Length
- Length in feet
- Width
- Width in feet
- Thickness
- Thickness in inches (divide by 12 to convert to feet)
Worked through: 10 ft × 10 ft × (4 in ÷ 12) = 10 × 10 × 0.333 = 33.3 cu ft
Cubic Yards Conversion
Cubic Yards = Cubic Feet ÷ 27
- Cubic Feet
- Volume in cubic feet
- 27
- Number of cubic feet in one cubic yard
Worked through: 33.3 cu ft ÷ 27 = 1.23 cu yd
Cylindrical Volume (Post Holes / Columns)
Volume (cu ft) = π × (Diameter ÷ 24)² × (Depth ÷ 12)
- π
- Pi = 3.14159
- Diameter
- Diameter in inches (divide by 24 to get radius in feet)
- Depth
- Depth in inches (divide by 12 to get feet)
Worked through: 12 in diameter × 36 in deep: π × (6/12)² × 3 = 3.14159 × 0.25 × 3 = 2.36 cu ft
Number of Bags
Bags = (Cubic Feet × Waste Factor) ÷ Coverage per Bag
- Cubic Feet
- Calculated volume in cubic feet
- Waste Factor
- 1 + (waste % ÷ 100)
- Coverage per Bag
- 40 lb = 0.30, 60 lb = 0.45, 80 lb = 0.60 cu ft
Worked through: 33.3 cu ft × 1.10 ÷ 0.60 = 61 bags of 80-lb concrete
The constants, and where they come from
BAG_COVERAGE
Well establishedCured concrete yielded by one bag of dry mix, in cubic feet, by bag weight
- 40
- 0.3
- 60
- 0.45
- 80
- 0.6
Applies to: United States pre-mixed concrete in 40, 60 and 80 pound bags
No published figure exists for this. It is derived, and the derivation is below rather than a citation to something that does not say it.
0.30, 0.45 and 0.60 cubic feet for 40, 60 and 80 pound bags. These are the yields printed on the bag by every major US manufacturer, and they are internally consistent: each implies 133 pounds of mix per cubic foot of cured concrete, which is what a dry mix at that water ratio produces. Check the bag before ordering, since a mix designed for a specific purpose can differ.
What the labels mean
- Well established:
- a settled figure that no single body publishes, so the derivation is shown instead.
What this does not account for
The figures assume the conditions below. Where your job differs from one of them, the answer differs too, and by roughly as much.
- 1 cubic yard = 27 cubic feet
- 40-lb bag covers approximately 0.30 cubic feet
- 60-lb bag covers approximately 0.45 cubic feet
- 80-lb bag covers approximately 0.60 cubic feet
- Ready-mix concrete: approximately 45–60 bags per cubic yard (60-lb bags)
- Standard waste factor: 5–10% for slabs, 10–15% for footings
If a figure here looks wrong, it may be. Tell us what you found and we will check it against the source and publish a correction if it needs one. How constants are chosen and how often they are reviewed is set out in our methodology.
What this calculator does
- Load sample data to see it working
- Advanced options for the figures behind the estimate
- Charts of the result
- Cost estimate from prices you enter
- Waste factor you can adjust
- Copy the results as text
- Export the results as CSV
- A link that reopens this calculation
- Print a one-page takeoff sheet
How to use the Concrete Calculator
- 1
Select your pour shape - rectangular slab/footing or cylindrical column/post hole
- 2
Enter dimensions (length × width × thickness for slabs; diameter × depth for cylinders)
- 3
Convert thickness from inches to feet by dividing by 12
- 4
Calculate volume in cubic feet using the appropriate formula
- 5
Convert cubic feet to cubic yards by dividing by 27
- 6
Apply the waste factor (add 5–15%)
- 7
Divide by the coverage per bag to find number of bags needed
- 8
Compare ready-mix vs bagged cost to choose the most economical option
What this calculator assumes
Every estimate here rests on the assumptions below. Where your job differs from one of them, the figure will differ too.
- 1 cubic yard = 27 cubic feet
- 40-lb bag covers approximately 0.30 cubic feet
- 60-lb bag covers approximately 0.45 cubic feet
- 80-lb bag covers approximately 0.60 cubic feet
- Ready-mix concrete: approximately 45–60 bags per cubic yard (60-lb bags)
- Standard waste factor: 5–10% for slabs, 10–15% for footings
Common mistakes and pro tips
Common mistakes
- Forgetting to convert thickness from inches to feet (divide by 12)
- Confusing cubic feet with cubic yards
- Not adding a waste factor
- Underestimating volume for irregular ground
- Using bag coverage for ready-mix calculations
- Not accounting for multiple post holes
Pro tips
- Order ready-mix in 0.5-yard increments to avoid paying for excess
- For post holes, dig below frost line - depth varies by region
- Wet the forms before pouring to prevent the wood from absorbing water from the mix
- Plan your pour for early morning in summer to avoid rapid drying
- Use fiber mesh or rebar for slabs that will bear vehicle weight
- Allow 28 days for concrete to reach full design strength before heavy loading
How to calculate how much concrete you need
Concrete is sold by the cubic yard for ready-mix delivery and by weight per bag for smaller DIY projects. Getting the volume right before you start saves money, avoids cold joints from stopping mid-pour, and prevents the frustration of running out of material before the form is full.
The calculation itself is simple geometry: length × width × thickness for rectangular pours, or π × radius² × depth for cylindrical shapes like post holes and columns. The challenge for most homeowners is remembering to convert inches to feet, accounting for waste, and choosing between ready-mix and bagged concrete based on the volume of the project.
This calculator handles all of that - enter your dimensions, select the shape, choose a bag size, and get an instant result in cubic yards, cubic feet, and cubic meters, along with a bag count and optional cost comparison.
Cubic yards vs. cubic feet vs. cubic meters
Understanding concrete volume units is essential before you order. Here is how they relate:
- Cubic yard (yd³): The standard unit for ordering ready-mix concrete in the United States. One cubic yard = 27 cubic feet. Most ready-mix trucks carry 8–10 cubic yards per load.
- Cubic foot (cu ft): Useful for calculating bag quantities. An 80-lb bag of concrete mix covers approximately 0.60 cubic feet. A 60-lb bag covers 0.45 cu ft and a 40-lb bag covers 0.30 cu ft.
- Cubic meter (m³): The standard unit in metric countries. One cubic meter = 35.31 cubic feet = 1.308 cubic yards.
A common mistake is confusing cubic feet with cubic yards. A 10 × 10 ft patio at 4 inches thick is 33.3 cubic feet - which is only 1.23 cubic yards. Ordering in cubic feet instead of cubic yards would result in ordering far too little material.
Remember: always convert thickness from inches to feet before calculating. Four inches thick = 4 ÷ 12 = 0.333 feet.
Formulas Used
Rectangular Slab Volume
Volume (cu ft) = Length × Width × (Thickness ÷ 12)Where:
Length= Length in feetWidth= Width in feetThickness= Thickness in inches (divide by 12 to convert to feet)
Example:
10 ft × 10 ft × (4 in ÷ 12) = 10 × 10 × 0.333 = 33.3 cu ft
Cubic Yards Conversion
Cubic Yards = Cubic Feet ÷ 27Where:
Cubic Feet= Volume in cubic feet27= Number of cubic feet in one cubic yard
Example:
33.3 cu ft ÷ 27 = 1.23 cu yd
Cylindrical Volume (Post Holes / Columns)
Volume (cu ft) = π × (Diameter ÷ 24)² × (Depth ÷ 12)Where:
π= Pi = 3.14159Diameter= Diameter in inches (divide by 24 to get radius in feet)Depth= Depth in inches (divide by 12 to get feet)
Example:
12 in diameter × 36 in deep: π × (6/12)² × 3 = 3.14159 × 0.25 × 3 = 2.36 cu ft
Number of Bags
Bags = (Cubic Feet × Waste Factor) ÷ Coverage per BagWhere:
Cubic Feet= Calculated volume in cubic feetWaste Factor= 1 + (waste % ÷ 100)Coverage per Bag= 40 lb = 0.30, 60 lb = 0.45, 80 lb = 0.60 cu ft
Example:
33.3 cu ft × 1.10 ÷ 0.60 = 61 bags of 80-lb concrete
Bagged concrete vs. ready-mix: which should you use?
The decision between bagged and ready-mix concrete comes down to project volume and accessibility. Here is how to choose:
Use bagged concrete when:
- Your project requires less than 1 cubic yard (27 cubic feet)
- You are setting fence posts, mailbox posts, or deck footings
- The site is difficult for a concrete truck to access
- You want to work at your own pace and mix one bag at a time
- The project can be done over multiple days
Use ready-mix concrete when:
- Your project is larger than 1 cubic yard
- You are pouring a driveway, patio, garage floor, or foundation
- You need a consistent, engineered mix for structural applications
- Time matters - ready-mix is placed faster than hand-mixing bags
Cost comparison
Bagged 80-lb concrete typically costs $7–$10 per bag at retail, yielding about 0.60 cu ft. That works out to $315–$450 per cubic yard for bagged concrete. Ready-mix typically runs $130–$200 per cubic yard plus a delivery charge of $50–$150, with minimum orders of 1 yard.
For volumes under 1 cubic yard, bagged concrete is usually cheaper once you factor in the ready-mix minimum order and delivery fee. For larger pours, ready-mix becomes significantly more economical.
What thickness do you need?
Slab thickness is one of the most important decisions in a concrete project. Using the right thickness for the application saves money and ensures durability.
- 4 inches: Standard for residential patios, sidewalks, and garden paths with no vehicular traffic. The most common thickness for DIY pours.
- 4–6 inches: Garage floors and areas with occasional light vehicle traffic. Use 5–6 inches if heavy trucks or RVs will park on the surface.
- 6 inches: Driveways with regular vehicle traffic, agricultural slabs, and areas subject to freeze-thaw cycling.
- 8+ inches: Commercial truck traffic, heavy equipment pads, and structural applications. These typically require engineering review.
Structural slabs, foundations, and load-bearing footings must meet local building code requirements for thickness, reinforcement, and concrete strength. Consult a licensed structural engineer for any structural concrete work.
Calculating concrete for post holes
Post holes use a cylindrical volume formula: π × r² × depth, where r is the radius of the hole in feet and depth is the hole depth in feet. This calculator handles this automatically when you select the Column / Post Hole shape.
For a standard 10-inch diameter post hole that is 36 inches (3 feet) deep:
- Radius = 5 inches = 0.417 feet
- Volume = π × 0.417² × 3 = 1.637 cubic feet
- At 80 lb bags (0.60 cu ft each): 1.637 ÷ 0.60 = 2.73 → 3 bags per hole
The depth of post holes should extend below the frost line in your area. In cold climates, frost depth can reach 48 inches or more. Shallow post holes in freeze-thaw environments will heave over time, causing fence or deck movement. Contact your local building department for the required frost depth in your area.
For multiple post holes, multiply the per-hole volume by the number of holes and add 10–15% waste. Buy at least one extra bag per hole as insurance.
Concrete placement best practices
The right volume is only half the equation. Good placement technique and proper curing make the difference between concrete that lasts decades and concrete that cracks within a year.
Before the pour
- Compact the base: Concrete placed on soft or disturbed soil will settle unevenly. Compact the subgrade and add a 4-inch gravel base for slabs.
- Set forms precisely: Level forms produce level slabs. Stake and brace wooden forms so they do not move during the pour.
- Moisten the subgrade: Lightly wet the base before placing concrete to prevent the ground from drawing water out of the mix too quickly.
During the pour
- Consolidate concrete by rodding or tapping forms to eliminate air pockets.
- Use a screed board to level the surface. Work from one end of the slab toward the other.
- Float the surface to close voids and bring paste to the top.
- Do not overwork the surface or add water to the mix - both weaken the final product.
Curing
Concrete gains most of its design strength over 28 days, not overnight. Keep the surface moist for at least 7 days by covering with wet burlap, plastic sheeting, or a liquid curing compound. Do not allow concrete to dry out in the first week.
Avoid placing concrete in temperatures below 40°F (4°C) or above 90°F (32°C) without special precautions. Cold weather slows curing significantly and frost can permanently damage fresh concrete.
Common concrete calculation mistakes
- Thickness in wrong units: Entering 4 for thickness when the calculator expects feet (not inches) will give a result 12× too large. Always check which unit the form expects.
- Forgetting waste: Irregular ground, form variation, and spillage regularly add 5–10% to the theoretical volume. Never plan for 0% waste on a concrete project.
- Confusing cubic feet and cubic yards: A bag count calculation requires cubic feet; a ready-mix order uses cubic yards. This calculator shows both.
- Under-ordering ready-mix: Ready-mix is priced by the yard and most suppliers charge for the full minimum load. Add an extra 10% and order the nearest full 0.5 yard increment to avoid a short load.
- Not accounting for post displacement: For post hole concrete, the volume of the post itself displaces some concrete. For large posts in small holes, this can be significant.
Concrete safety notes
Skin protection: Fresh concrete is caustic (pH 12–13) and can cause chemical burns with prolonged skin contact. Wear waterproof gloves and boots. Wash any concrete off skin immediately.
Eye protection: Wear safety glasses when mixing or placing concrete. Splashes can cause serious eye injury.
Respiratory protection: Concrete dust contains silica. Wear an N95 or better respirator when cutting, grinding, or mixing dry concrete in enclosed areas.
Permits: Structural footings, foundations, driveways, and retaining walls may require a building permit in most jurisdictions. Check with your local building department before starting.
Frequently Asked Questions
Related calculators
Authoritative Resources
- Portland Cement Association - Concrete Basics
Portland Cement Association - Technical guidance on concrete mix design, placement, curing, and testing.
- ACI 318 Building Code Requirements for Structural Concrete
American Concrete Institute - American Concrete Institute structural concrete standards and resources.
Bag yields are the figures printed by the major US manufacturers, and the volume follows from the dimensions you enter. Forms bulge, subgrade is never flat and over-excavation is normal, so order the waste allowance rather than the exact volume and expect to use it. Anything structural, load bearing or permitted needs its concrete mix and its thickness specified by a licensed engineer.