Concrete Volume Calculator

Concrete Stairs Calculator

Concrete steps are one of the trickier pours to estimate because the staircase shape is not a simple rectangle. This calculator uses the correct triangular prism formula for each step to give you an accurate cubic yard count — no over-ordering, no running short mid-pour.

How to use this calculator

  1. Enter the number of steps and the step width in feet.
  2. Set the rise (height per step) and run (depth per step) in inches.
  3. Adjust the waste factor — steps often need 15–20% extra.
  4. Read your cubic yards — most residential steps fall under 1 yd³ and suit bagged mix.

How we calculate this

Each step is modelled as a triangular prism: volume = ½ × rise × run × width. For a full staircase, the total volume = (number of steps + 1) × ½ × rise × run × width + the landing slab if present. A 4-step stair, 4 ft wide, 7-inch rise, 11-inch run gives (4+1) × 0.5 × (7/12) × (11/12) × 4 = 5.35 cu ft per tread stack = 1.07 cu ft × 5 = about 1.07 cubic yards total including landing.

Volume (ft³) n × (n + 1) ÷ 2 × rise × run × width
Cubic yards volume (ft³) ÷ 27
With 10% waste cubic yards × 1.10
80 lb bags needed cubic yards × 27 ÷ 0.60 (per bag yield)

What this calculator doesn't include

This calculator assumes solid poured-in-place concrete steps with no void fill (gravel or block fill). Hollow-core steps with fill significantly reduce concrete volume — deduct the void volume manually. The calculator does not include the landing pad at the top or bottom unless entered as additional thickness. Rebar, forms, and broom finish labour are not included.

Example concrete estimates — Concrete Stairs

Pre-calculated for common project sizes. Includes 10% waste factor.

ConfigurationCubic YardsWith Waste80 lb Bags
3 steps, 4 ft wide, 7" rise, 11" run0.475 yd³0.52 yd³24
3 steps, 5 ft wide, 7" rise, 11" run0.594 yd³0.65 yd³30
4 steps, 4 ft wide, 7" rise, 11" run0.792 yd³0.87 yd³40
4 steps, 5 ft wide, 7" rise, 11" run0.99 yd³1.09 yd³50
5 steps, 4 ft wide, 7" rise, 11" run1.188 yd³1.31 yd³59
5 steps, 5 ft wide, 7" rise, 11" run1.485 yd³1.63 yd³74
6 steps, 4 ft wide, 7" rise, 11" run1.664 yd³1.83 yd³83
6 steps, 5 ft wide, 7" rise, 11" run2.079 yd³2.29 yd³103

All estimates include a 10% waste factor. Under 1 yd³ is typically practical with bagged mix; over 1 yd³ usually warrants a ready-mix truck.

Frequently asked questions

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