Stacked-Rectangle Method
Each step is treated as a rectangle from ground level to the top of that step. Step N volume equals tread depth x (N x riser height) x width. Total step volume is the sum of all step volumes.
Uses the stacked-rectangle method with carriage depth included, not the simplified total-run shortcut that underestimates many stair pours.
Instantly flags riser height, tread depth, and width against IRC 2021 residential stair checks.
Calculates top landing platform and optional footing volume as separate line items.
Outputs 50, 60, and 80 lb bag logic and flags the ready-mix threshold for large stair projects.
Shows volume for each individual step so you can verify the math at every level.
Supports structural carriage thickness input for solid poured stairs, the variable most calculators ignore.
Calculator
If you are also sizing connected flatwork, use the concrete slab calculator. For pier-supported entries, pair this with the deck footing calculator. For mix proportions, see the concrete mix ratio calculator.
7.00 inch riser · 11.00 inch tread · 48.0 inch wide. Ergonomic ideal: 24-25 inches.
4 steps plus carriage, platform, footing if enabled, and 10% waste.
Each step is treated as a rectangle from ground level to the top of that step. Step N volume equals tread depth x (N x riser height) x width. Total step volume is the sum of all step volumes.
Total run x average height x width treats the stair as a simple triangle. It is fine for rough planning but can miss base mass, platform, carriage, and footing volume.
Slope length comes from the Pythagorean theorem: sqrt(total rise squared + total run squared). Carriage volume is slope length x throat depth x width.
Example: 4 steps, 7 in riser, 11 in tread, 48 in wide, 6 in carriage, 36 in platform Step 1: (11/12) x (7/12) x (48/12) = 2.139 ft3 Step 2: (11/12) x (14/12) x (48/12) = 4.278 ft3 Step 3: (11/12) x (21/12) x (48/12) = 6.417 ft3 Step 4: (11/12) x (28/12) x (48/12) = 8.556 ft3 Steps subtotal: 21.389 ft3 Carriage slope = sqrt((28/12)^2 + (44/12)^2) = 4.35 ft Carriage = 4.35 x (6/12) x (48/12) = 8.70 ft3 Platform = (36/12) x (6/12) x (48/12) = 6.00 ft3 With 10% waste: 39.70 ft3 = 1.47 yd3
Section R311.7 of the International Residential Code governs stair construction for one- and two-family dwellings. These are planning checks; local amendments may be stricter.
| Parameter | IRC 2021 Requirement | Common Mistake |
|---|---|---|
| Maximum riser height | 8.75 inches | 9 inch risers that fail inspection |
| Minimum riser height | 4 inches | Rarely violated |
| Minimum tread depth | 10 inches, nosing excluded | Measuring to nosing tip instead of back |
| Minimum stair width | 36 inches clear | Including handrail in measurement |
| Max riser uniformity | 0.375 inch within a flight | Uneven formwork causing variable risers |
| Minimum headroom | 6 ft 8 in (80 inches) | Low soffits over basement stairs |
| Handrail required | 4+ steps, one side minimum | Skipping handrail on short runs |
| Landing at top/bottom | Minimum width equals stair width | Undersized top platform |
The comfort rule is 2R + T = 24 to 25 inches, where R is riser height and T is tread depth. A 7 inch riser with an 11 inch tread gives 25 inches, which feels natural for most residential stairs.
Values are per step only, with no carriage or platform. Stair width is 48 inches and 10% waste is included.
| Riser Height | Tread Depth | Step # | Volume/Step (ft3) | 80 lb Bags | IRC Status |
|---|---|---|---|---|---|
| 6 in | 12 in | 1 | 2.20 | 4 | Compliant |
| 6 in | 12 in | 2 | 4.40 | 8 | Compliant |
| 7 in | 11 in | 1 | 2.35 | 4 | Compliant |
| 7 in | 11 in | 2 | 4.71 | 8 | Compliant |
| 7 in | 11 in | 3 | 7.06 | 12 | Compliant |
| 7 in | 11 in | 4 | 9.41 | 16 | Compliant |
| 8 in | 10 in | 1 | 2.44 | 5 | Compliant |
| 8 in | 10 in | 3 | 7.33 | 13 | Compliant |
| 9 in | 10 in | 1 | 2.75 | 5 | Exceeds IRC max |
| 9 in | 10 in | 3 | 8.25 | 14 | Exceeds IRC max |
Per-step volumes increase with each successive step because each step supports the full height from ground to its tread. Add carriage volume and platform volume separately.
Never start building formwork until you have verified your riser and tread dimensions against IRC code. The maximum residential riser used by this calculator is 8.75 inches, and the minimum tread is 10 inches. Use the IRC compliance checker above before cutting a single board. A stair that fails inspection after pouring is an expensive demolition job.
Measure the total vertical rise from finished grade to the top landing. Divide by your target riser height to get the number of steps, then recalculate exact riser height so all steps are equal. Uneven risers are a trip hazard and may violate code because the allowed variation within one flight is only 0.375 inch.
The carriage is the sloped structural base beneath the steps. A 6-inch throat depth can add roughly 15-20% to total concrete volume on common residential stairs. Enter your carriage thickness in the calculator so you can see how much it contributes before buying bags or scheduling ready-mix.
Concrete steps should be poured in a single continuous pour whenever possible. Cold joints between separately poured steps are weak points that crack under freeze-thaw cycling. Start at the bottom step, fill each form completely, consolidate the concrete, and work upward.
Concrete steps are vulnerable to edge damage during the first 48-72 hours. Cover with burlap or plastic sheeting and keep moist for at least 7 days. Protect step edges and nosings during the first week because they are the thinnest sections and the first to chip.
Typical volume: 0.75-1.50 yd3 | ready-mix worth pricing
A 3-4 step front entry stair at 48 inches wide is the most common residential concrete step project. At 7 inch risers and 11 inch treads, 4 solid steps with carriage and a 36 inch platform can exceed 1 cubic yard, so compare bagged concrete against a short-load ready-mix quote.
Typical volume: 1.50-3.00+ yd3 | ready-mix territory
A 6-step basement stair can become a substantial pour once the stacked step mass and carriage are included. The carriage volume becomes significant at this step count, so do not skip it in the estimate.
Key check: max 8.75 inch riser, min 10 inch tread, 0.375 inch uniformity
Older steps built with 9 inch risers or shallow treads often fail modern residential checks. Use the IRC compliance checker before pouring replacement stairs so a home sale inspection does not turn into demolition and repour.
Typical volume: 0.50-2.0+ yd3 | Ready-mix territory
Steps wider than 60 inches or taller than 8 risers can move into ready-mix territory quickly. Use the concrete cost calculator to estimate total project cost including labor and equipment.
Most solid residential concrete steps (3-4 steps, 48 inches wide) can range from less than 1 cubic yard to more than 1 cubic yard once carriage, platform, footing, and waste are included. Volume increases with step count because each successive step supports the full height from ground to its tread. Enter exact dimensions above for a precise per-step and total volume breakdown.
The IRC 2021 checks used here allow a maximum residential riser height of 8.75 inches and require a minimum tread depth of 10 inches. A comfortable common target is 7 inch risers and 11 inch treads, which satisfies Blondel's ergonomic formula: 2R + T = 25 inches. All risers in a flight should also be uniform.
The stacked-rectangle method treats each step as a rectangle from ground level to the top of that step, calculates tread depth x cumulative height x width, and sums the steps. Then add carriage volume, platform volume, footing volume if used, and waste. This is more useful than a single total-run shortcut for solid concrete steps.
The carriage is the sloped structural base running diagonally beneath the steps. Throat depth is the thickness of that base, commonly 4 to 8 inches for residential work. The calculator estimates carriage volume from slope length x throat depth x stair width.
In many climates, exterior concrete steps should sit on a footing or stable frost-protected base to prevent movement. The calculator includes an optional footing input so you can add footing width, depth, and thickness directly to the total concrete volume.
A single continuous pour is strongly preferred because cold joints between separately poured sections can crack under freeze-thaw cycling and traffic load. If a staged pour is unavoidable, use proper surface preparation and bonding methods rather than pouring new concrete against a smooth cured face.
Concrete steps often cost $150 to $500 per step installed by a contractor, depending on formwork, access, reinforcement, and region. DIY material cost for a small 4-step entry stair may be much lower, but form lumber, tools, and risk matter. Use the concrete cost calculator for a full project cost estimate.