Concrete Steps Calculator

Concrete and bag counts for a flight of steps — rise, run, width, and how many steps.

Inputs
in
in
ft
Steps3
Results update as you type — no submit
ResultsLIVE
80-lb bags to buy
18 bags
≈ 1,440 lb of dry mix
Concrete volume
0.4 cu yd
≈ 0.3 m³
Concrete volume0.4 cu yd
In 60-lb bags24 bags
Total rise21″
Total run33″
Formula
volume = 3 × (11 ÷ 12) × (7 ÷ 12) × 6 = 9.63 cu ft
bags = ceil(9.63 × 1.1 ÷ 0.6) = 18
Diagram — step flight (side profile)NTS
7″11″SIDE PROFILE · WIDTH 3′ 0″MEASURESHED3 STEPS18 × 80LB BAGS

A flight of solid concrete steps is really a stack of rectangular prisms. The top step is one tread deep and one rise tall; the next one down carries the tread above it plus its own rise, and so on to the bottom step, which is the tallest. Add those prisms up and the run of steps follows the arithmetic-series pattern: total volume equals width × run × rise × N(N+1)/2, where N is the number of steps. That is the same "sum of step prisms" method published concrete-step calculators use.

Because the formula works in cubic feet while you enter rise and run in inches, the calculator converts each dimension first, multiplies through, then adds a waste allowance for the forms, the sloped subgrade under the bottom step, and ordinary spillage. It divides that padded volume by each bag's yield — about 0.60 cubic feet for an 80 lb bag and 0.45 for a 60 lb bag — and rounds up, since a partial bag does you no good on the jobsite.

The tool also reports the total rise and total run of the flight so you can check the stairs against code before you build the forms: total rise is the number of steps times the rise, and total run is the number of steps times the tread depth.

Worked example
Flight of 3 steps · rise 7″ · run 11″ · width 36″ · +10% waste · 80 lb bags
volume = 3 × (11 ÷ 12) × (7 ÷ 12) × 6 = 9.625 cu ft → +10% = 10.59 cu ft = 0.39 cu yd
80 lb bags = ceil(10.59 ÷ 0.60) = 18 · 60 lb = ceil(10.59 ÷ 0.45) = 24
total rise = 3 × 7 = 21″ · total run = 3 × 11 = 33″
It depends on which step. Because each step carries every tread above it, the bottom step is the largest and the top step the smallest. For the whole flight, use width × run × rise × N(N+1)/2: a 3-step run at 36″ wide with a 7″ rise and 11″ run works out to about 9.6 cu ft before waste.
SOURCESStep volume = W·run·rise·N(N+1)/2 (sum of step prisms); bag yields per QUIKRETE Concrete Mix No. 1101
Estimates for planning only — verify before purchase