How it works
The formula
volume = width × rise × (run × n(n − 1) ÷ 2 + landing × n)
bags = volume × (1 + waste) ÷ yield per bag, rounded up
Assumptions
- Steps are solid concrete, poured on the ground or a compacted base. Hollow steps formed over fill take less.
- n is the number of risers. The lower n − 1 steps each have a tread one run deep; the top step is the landing.
- Code limits (2021 International Residential Code): risers at most 7.75 in (R311.7.5.1), treads at least 10 in (R311.7.5.2), a 3/4 to 1-1/4 in nosing unless treads are 11 in or deeper (R311.7.5.3), and a landing at least 36 in deep at the top of a stairway (R311.7.6). We warn when your steps fall outside them; check your local code.
- Bag yields from the bag: 0.60 cu ft for 80 lb, 0.45 for 60 lb (QUIKRETE's data sheet for its Concrete Mix). Ready-mix is ordered in quarter yards with a 1 yd minimum, plus a short-load fee.
Worked example
3 steps, 7 in rise, 11 in run, 4 ft wide, 36 in landing
- 4 × 7/12 × (11/12 × 3 + 36/12 × 3) = 27.42 cu ft
- With 10% extra: 30.16 cu ft ÷ 0.60 = 50.3 → 51 bags of 80 lb
80 lb bags by step count and width
| Steps | Width | Cu ft | 80 lb bags |
|---|---|---|---|
| 2 | 4 ft | 16.1 | 30 |
| 3 | 4 ft | 27.4 | 51 |
| 4 | 4 ft | 40.8 | 75 |
| 3 | 6 ft | 41.1 | 76 |
| 5 | 5 ft | 70.5 | 130 |
7 in rise, 11 in run, 36 in landing, 10% extra. Up to 20 steps in the calculator.
Questions people ask
How many bags of concrete for 3 steps?
For 3 steps 4 ft wide with a 7 in rise, 11 in run and a 36 in landing, about 27.4 cu ft, so 51 bags of 80 lb concrete mix with 10% extra. Wider steps or a deeper landing take proportionally more.
What is the standard rise and run for steps?
The residential code allows a riser of at most 7.75 in and a tread of at least 10 in. Many builders use about 7 in and 11 in, which is comfortable to climb. Keep every riser in a flight within 3/8 in of the others.
Is it cheaper to buy bags or ready-mix for steps?
For small steps, bags usually win: ready-mix plants charge a short-load fee on orders under a few yards. The result above compares both at typical prices; type your local prices to see yours.
Do concrete steps need rebar?
Usually, yes, and often a footing or a tie to the foundation wall, depending on your local code and frost depth. This calculator sizes the concrete only.