Construction Calculator

Concrete Calculator

Use this concrete calculator to estimate cubic yards, ready-mix cost, and 40 / 60 / 80 lb bag counts for slabs, footings, columns, circular pads, curbs, and stairs. To calculate concrete volume for a slab, multiply length × width × thickness in feet, then divide by 27 to get cubic yards. We show the full formula trail for every shape so you can verify the math, and we apply the QUIKRETE-published bag yields (0.30, 0.45, 0.60 ft³ for 40 / 60 / 80 lb bags) plus 2026 ready-mix pricing from Concrete Network, HomeGuide, and Angi.

Six shapes · Side-by-side bag counts · 2026 cost estimate · No signup

Calculate Concrete Volume

Driveways, patios, garage floors, sidewalks

Driveway 4–6 in · Sidewalk 4 in · Patio 4 in

ACI / Concrete Network recommends 5–10% for typical pours, 10–15% for complex pours, irregular subgrades, or many cut-outs. Default 10%.

Result

Cubic yards (with waste)
1.36 yd³
Cubic feet
36.67 ft³
Cubic meters
1.038 m³
Net volume (no waste)
1.23 yd³
Approximate weight
5,500 lb

Bag count (rounded up — never order short)

40 lb bags0.30 ft³ / bag
123
Approx $677 – $923
60 lb bags0.45 ft³ / bag
82
Approx $533 – $738
80 lb bags0.60 ft³ / bag
62
Approx $465 – $651

Bag counts use QUIKRETE-published yields (0.30 / 0.45 / 0.60 ft³) and apply the waste factor before dividing — so the count covers the full pour, including the 5–15% buffer.

Without waste (raw volume reference): 112 × 40 lb / 75 × 60 lb / 56 × 80 lb

2026 ready-mix cost estimate

Concrete only ($125–$195 / yd³)
$170 – $265
Delivery (one truck, 20-mi radius)
$60 – $180

Short-load surcharge applies (~$53 / yd³ below 5 yd³). Estimated surcharge: $72. Bag mixing is often cheaper at this volume — see comparison below.

Total delivered: $302$517

Source: Concrete Network 2026 ($160–$195/yd³), HomeGuide 2026 ($125–$160/yd³), Angi 2026 ($130–$150/yd³). Regional spread is real; get a local quote for binding pricing.

Formula trail

  1. V = L × W × T
  2. V = 10 ft × 10 ft × 4 in
  3. Convert thickness: 4 in ÷ 12 = 0.3333 ft
  4. V = 10 × 10 × 0.3333 = 33.33 ft³
  5. V = 33.33 ft³ ÷ 27 = 1.23 yd³
  6. With 10% waste: 1.36 yd³

How the Concrete Calculator Works

Every concrete-volume calculation reduces to two steps: compute the cubic feet of the shape, then divide by 27 to convert to cubic yards (because one yard = three feet on a side, so 3 × 3 × 3 = 27 ft³ per yd³). The shape changes only the cubic-feet formula. Below is the formula table this calculator uses, all derived from Design and Control of Concrete Mixtures (American Cement Association, 17th ed.) and ACI standard practice.

ShapeFormula (returns ft³)Notes
Rectangular slab / wall / footingV = L × W × TAll dimensions in feet
Round column / hole / sonotubeV = π × r² × hr = radius (ft), h = height (ft)
Circular slabV = π × r² × TT = slab thickness in feet
Curb & gutterV = (curb_depth × (curb_height + flag_thickness) + gutter_width × flag_thickness) × lengthL-shaped cross-section extruded along length
Solid stairsV = run × rise × width × N(N+1)/2 + platformStacked-rectangle method (closed-riser); platform optional
Hollow tubeV = π × (R² − r²) × hUse the column tab and subtract the inner cylinder

Worked example — 10 ft × 10 ft slab, 4 in thick

This is the canonical reference case for any concrete calculator. Watch the math unfold:

  1. Convert thickness to feet: 4 in ÷ 12 in/ft = 0.3333 ft
  2. Multiply: 10 ft × 10 ft × 0.3333 ft = 33.33 ft³
  3. Convert to cubic yards: 33.33 ft³ ÷ 27 = 1.23 yd³
  4. Add 10% waste: 1.23 × 1.10 = 1.36 yd³ to order
  5. Bag count (80 lb at 0.60 ft³): 33.33 × 1.10 ÷ 0.60 = 61.1 → ceil to 62 bags
  6. Approximate weight: 33.33 × 1.10 × 150 lb/ft³ ≈ 5,500 lb

Because 1.36 yd³ falls below the typical short-load minimum (5 yd³), a ready-mix order carries a $72 short-load surcharge (1.36 × $53/yd³) plus a $60–$180 delivery fee. Total delivered: roughly $300–$520. At this size, 62 × 80 lb bags from a big-box retailer (~$7.50–$10.50 each) total ~$465–$650 — comparable economics, so choose by labor cost, not material cost. The calculator surfaces both options so you can decide based on your time and equipment availability.

Five Real-World Concrete Calculations

DIY homeowner — 10 × 10 patio

  • Shape: slab
  • Length: 10 ft
  • Width: 10 ft
  • Thickness: 4 in
  • Waste: 10% · Bag size: 80 lb

Output: 1.23 yd³ net · 1.36 yd³ with waste · 62 × 80 lb bags (~$465–$650) · ready-mix all-in ~$300–$520

At 1.36 yd³ you're below ready-mix minimums in most markets — the short-load surcharge ($53/yd³) and delivery fee ($60–$180) push the truck total above $300. Bag mixing is competitive on price but 62 bags is about 9 hours of mixing with a small electric mixer; rent a tow-behind mixer or split the pour into thirds.

Contractor — 20 × 24 driveway, 5 in

  • Shape: slab
  • Length: 24 ft
  • Width: 20 ft
  • Thickness: 5 in
  • Waste: 8%

Output: 7.41 yd³ net · ~8.0 yd³ with waste · ~$1,000–$1,560 concrete + $60–$180 delivery

Above 7 yd³ ready-mix wins decisively. Order a full 8 yd³ truck — you're past the short-load threshold so no $53/yd³ surcharge applies; leftover concrete gets dumped on subgrade prep area. At 5 in, this is rated for cars and light trucks per Concrete Network's driveway-thickness guide.

Fence builder — 22 post holes

  • Shape: column / hole
  • Diameter: 10 in
  • Depth: 30 in
  • Quantity: 22
  • Waste: 10%

Output: 0.051 yd³ per hole (full cylinder) · total 1.22 yd³ with waste · ~74 × 60 lb bags

Volume per hole is small but multiplies fast: 22 posts ≈ 1.22 yd³ with 10% waste, just above 1 yd³. Bag setting (the no-mix QUIKRETE method — pour dry mix, then water) saves labor for runs under 30 posts. The 4 × 4 wood post displaces about 0.014 ft³ per hole; the calculator's full-cylinder result is conservatively over-estimated, which is fine — extra mix becomes the post collar.

Architect — 6 ft fire-pit base, 6 in

  • Shape: circular slab
  • Diameter: 6 ft
  • Thickness: 6 in
  • Waste: 10%

Output: 0.524 yd³ net · 0.576 yd³ with waste · ~26 × 80 lb bags (~$195–$275)

Circular forms generate small volumes — under 1 yd³ here. Bags win on cost. Cut a sonotube or a wood form first; manual radial screeding is essential because slab thickness directly controls thermal cracking under the heat of a fire pit.

Deck builder — 12 cylinder footings

  • Shape: column
  • Diameter: 12 in
  • Height: 48 in below frost line
  • Quantity: 12
  • Waste: 10%

Output: 0.116 yd³ per footing · total 1.54 yd³ with waste · ~93 × 60 lb bags or ~70 × 80 lb

1.54 yd³ over 12 footings is bag territory because each pour is spaced 30+ minutes apart for screeding and leveling. A single ready-mix truck would harden in the chute before all footings are placed. Confirm the 48 in depth meets your local frost line — northern states require 36–48 in; the Deep South often only requires 12 in.

Slab Thickness, Frost Line, and US Code Context

The calculator outputs volume — but volume only matters if your thickness meets local code. Concrete Network's driveway-thickness guide and the US Federal Highway Administration (FHWA) Portland-Cement Concrete Materials reference converge on the following minimums, which most US municipal codes adopt with small variations.

ApplicationMinimum thicknessRecommended
Residential sidewalk4 in4 in
Commercial sidewalk6 in6–8 in
Patio4 in4–6 in (6 in for outdoor kitchens)
Residential driveway (cars)4 in4–5 in
Residential driveway (RVs / trucks)5 in6 in
Garage floor4 in5–6 in
Strip footing8 in8–12 in (load-bearing)
Pier / column footing12 in12–24 in

Frost line is geography-driven. Footings must extend below the local frost line to prevent heave. The National Weather Service maintains frost-depth maps that vary from 0 in on the Gulf Coast to 100+ in along the Canadian border. Common US zone depths: Florida / Texas 0–12 in; mid-Atlantic 18–24 in; Pennsylvania / Ohio 24–36 in; upper Midwest / New England 36–48 in; Minnesota / Maine 42–60 in. Check your local building department before pouring footings — code minimums override any rule of thumb.

PSI ratings. Standard residential concrete is 3,000 psi at 28 days. Driveways subject to freeze-thaw should be 4,000 psi with air entrainment (5–7% air content per ACI). Structural footings supporting a foundation are commonly 4,000–4,500 psi. If you're ordering ready-mix, specify the PSI when ordering — different mixes have different cost.

Eight Common Concrete-Calculator Mistakes

1. Forgetting to convert inches to feet

A 10 × 10 × 4 in slab is not 400 cubic units of anything useful. The 4 in must become 0.333 ft before multiplication, otherwise the result is 400 instead of 33.33 ft³ — off by a factor of 12. This calculator labels each input with its unit and converts internally so you can enter feet and inches naturally.

2. Applying waste to volume but not to bag count

A 1.23 yd³ slab with 10% waste = 1.36 yd³ for ready-mix ordering, but the bag count must also be calculated from the waste-inclusive volume. Otherwise the homeowner runs short by 10% mid-pour and the slab fails. This calculator applies waste before dividing by bag yield — every time.

3. Ignoring the short-load surcharge

Ready-mix pricing flips above ~5 yd³. For 0.5–4 yd³ jobs, the short-load surcharge ($53/yd³) often makes bags cheaper despite the labor cost. We surface this fee automatically when your volume is below the threshold so the real ready-mix vs. bag economics are visible.

4. Setting footings above the frost line

In northern US states, footing depth must extend below the local frost line (24–48 in). A user inputting '12 in deep' for a footing in Minnesota will get a code-non-compliant result. The calculator computes any depth you enter — but check local code; we cannot infer your zone from inputs alone.

5. Hollow vs. solid for tube / pipe forms

A 12 in diameter sonotube is solid; a 12 in pipe with a 1 in wall is hollow. Treating a hollow tube as solid overshoots concrete by 50%+. For hollow forms, calculate the outer cylinder, then calculate the inner cylinder with the column tab and subtract — or use the formula V = π × (R² − r²) × h directly.

6. Diameter vs. radius confusion on round columns

Users routinely enter '6 in radius' meaning '6 in diameter' and over-pour by 4× (radius squared compounds the error). This calculator labels the input as diameter explicitly, then shows you the converted radius in the formula trail so you can verify.

7. Stair nosing not modeled

Concrete stairs include a nosing overhang (~1 in) that adds non-trivial volume. For 12-step stairs at 36 in wide, nosing alone adds ~0.05 yd³. Our solid-stair calculation uses the stacked-rectangle (closed-riser) method — V = run × rise × width × N(N+1)/2 — which is correct for site-cast stairs without nosings. If your design has nosings, add roughly 5% to the result.

8. Rounding bag counts down instead of up

Math.round(8.2) returns 8 — so you arrive on pour day one bag short. Always Math.ceil for bag counts. We apply ceiling on every bag-size column so an 8.2 calculation becomes 9 every time. Cubic-yard display still rounds normally to 0.01 because pouring 1.23 vs. 1.234 yd³ changes nothing at the truck.

Related Concepts and Tools

Concrete mix ratio. When self-mixing from cement, sand, and gravel, the classic 1 : 2 : 3 ratio (cement : sand : gravel by volume) yields ~3,000 psi concrete. For 4,000 psi pours use 1 : 1.5 : 3.5. Cement is roughly 10–15% of the finished concrete volume.

Rebar / wire mesh. Reinforcement quantities scale with slab area, not volume. A typical residential driveway uses #4 (½ in) rebar in an 18 in grid, plus 2 in concrete cover on all sides. A 10 × 10 ft slab needs roughly 30 ft of rebar plus splices and laps. Wire mesh (6 × 6 W1.4 × W1.4) is a common alternative for non-load-bearing slabs.

Bag vs. ready-mix breakeven. Below ~1 yd³, bags win on cost and flexibility. Above ~5 yd³, ready-mix is faster and cheaper despite delivery fees. Between 1 and 5 yd³, the answer depends on labor availability, short-load fees ($53/yd³ surcharge), and how many separate pours you can do without joints showing.

Cure time. The surface sets in 24–48 hours (walkable). The slab reaches ~70% strength at 7 days, ~90% at 14 days, and the design strength at 28 days per ACI 318. Don't drive vehicles on a new slab for 7 days; wait 28+ days for heavy trucks or RVs.

Cubic-unit conversion. 1 yd³ = 27 ft³ = 0.7646 m³. International specs typically use cubic meters; multiply yd³ by 0.7646 (or ft³ by 0.0283) to convert. This calculator displays all three units so you can pull the number you need without a separate conversion step.

Bag vs. Ready-Mix Comparison (2026 US)

Project sizeBag option (80 lb)Ready-mix optionRecommended
0.25 yd³ (3 fence posts)11 × 80 lb · ~$95$110 + $60 delivery + $13 short-load = ~$185Bags
1 yd³ (small patio)45 × 80 lb · ~$370$165 + $120 delivery + $53 short-load = ~$340Either — bags for flexibility, ready-mix for speed
3 yd³ (large patio)135 × 80 lb · ~$1,100$495 + $120 delivery + $159 short-load = ~$775Ready-mix
5 yd³ (driveway, 10 × 27)225 × 80 lb · ~$1,840 (impractical)$825 + $120 delivery = ~$945Ready-mix
10 yd³ (full truck)450 × 80 lb (impractical)$1,650 + $120 delivery = ~$1,770Ready-mix (full load, no surcharge)

Bag prices use $8 / 80 lb bag (2026 big-box retail midpoint). Ready-mix uses the 2026 average $165/yd³ + delivery + short-load surcharge below 5 yd³. Source: Concrete Network 2026, HomeGuide 2026.

Frequently Asked Questions

How do I calculate concrete for a slab?

Multiply length × width × thickness in feet, then divide by 27 to get cubic yards. For thickness in inches, divide the inches by 12 first. Example: a 10 × 10 ft slab at 4 in thick = 10 × 10 × 0.333 = 33.33 ft³ ÷ 27 = 1.23 yd³. Always add 5–10% waste before ordering.

How many 60 lb bags equal one cubic yard?

A 60 lb bag of QUIKRETE concrete mix yields 0.45 ft³. Since one cubic yard equals 27 ft³, you need 27 ÷ 0.45 = 60 bags per cubic yard. For 80 lb bags (0.60 ft³ yield) you need 45 bags; for 40 lb bags (0.30 ft³ yield) you need 90. Always round up — never order short.

Should I order bags or ready-mix concrete?

Below about 1 yd³, bags win on cost and flexibility. Above 5 yd³, ready-mix is faster and cheaper despite delivery fees. Between 1 and 5 yd³ the answer depends on labor availability and short-load fees — most ready-mix suppliers charge a $53/yd³ surcharge for trucks under 10 yd³, which can flip the math toward bags for smaller pours.

How much extra concrete should I order?

Industry standard is a 5–10% waste factor for typical projects and 10–15% for complex pours with many cuts, irregular shapes, or uneven subgrades. ACI and Concrete Network both recommend 10% as the default safety margin. Running short mid-pour usually means a cold joint or a scrapped slab — so the extra material is cheap insurance.

What's the difference between concrete and cement?

Cement is the binder — Portland cement powder. Concrete is the finished material made of cement plus sand, gravel, and water. A 1 : 2 : 3 ratio of cement : sand : gravel by volume produces standard 3,000 psi concrete. This calculator outputs concrete volume; cement is typically 10–15% of that volume by weight or volume.

How thick should my driveway be?

Four inches is the residential minimum for cars and SUVs (3,000–6,000 lb GVW). Use 5–6 in for trucks, RVs, or freeze-thaw climates. Sidewalks: 4 in residential, 6–8 in commercial. Patios: 4 in standard, 6 in for outdoor kitchens or fire pits. Always verify local code — some jurisdictions require thicker slabs near property lines or for commercial drives.

How much does a yard of concrete cost in 2026?

The 2026 US national average is roughly $140–$165 per cubic yard delivered for standard 3,000–4,000 psi ready-mix, with a regional range of $125–$195 (Concrete Network, HomeGuide, Angi 2026). Add a $60–$180 delivery fee per truck and a $40–$60/yd³ short-load surcharge for orders under 5 yd³. Cement input prices rose roughly 8% in 2025.

How long does concrete take to cure?

The surface sets in 24–48 hours and is walkable in 1–2 days. Concrete reaches roughly 70% strength at 7 days, 90% at 14 days, and full design strength at 28 days per ACI 318. Don't drive vehicles on a new slab for at least 7 days; wait 28+ days for heavy trucks, RVs, or any concentrated load.

What is the formula for round column volume?

V = π × r² × h, where r is the radius in feet and h is the height in feet. For a 12 in diameter column 4 ft tall: radius = 0.5 ft, so V = 3.1416 × 0.25 × 4 = 3.14 ft³ = 0.116 yd³. Always work with diameter on the input side and convert internally — entering radius by mistake quadruples the result.

Does the calculator include rebar or steel reinforcement?

No — this is a volume calculator. Rebar and wire mesh do not displace meaningful concrete volume (a #4 bar is about 0.13 ft² in cross-section), so the math is unchanged. Plan rebar separately based on slab area: a typical residential driveway uses #4 rebar in an 18 in grid, with 2 in concrete cover on all sides.

Authoritative Sources

Important Disclaimer

This calculator provides volume and cost estimates for informational purposes only. Pricing reflects 2026 US national averages and regional spread is real — get a local quote for binding numbers. Slab and footing thickness must meet your local building code; we cite typical US minimums but cannot enforce code in your jurisdiction. Concrete is heavy and curing is exothermic — consult a licensed contractor for any structural pour.

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Reviewed in-house against official tax authority publications, WHO classifications, and primary regulatory sources. We update calculators when underlying rates or rules change.

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