Concrete Stairs Volume Calculator (Imperial Units)
The Concrete Volume Calculator for Steps provides an accurate estimate of concrete needed for steps construction, considering the specific geometry of sloped stairs. Unlike more straightforward calculators, this tool includes the stair's slope, throat depth, and width, ensuring precise calculations. Ideal for builders and contractors, this calculator helps optimize material usage and minimize waste for stair-related construction projects.
Need a landing slab at the top or bottom? Size it quickly with the
Concrete Slab Calculator.
If your stairs tie into strip footings, work out that volume first using the
Concrete Footing Calculator.
Concrete Steps Calculator
Calculator
- enter the number of steps
- the riser height of the step(s) in inches
- the run of the step(s) in inches
- the thickness (depth) of the throat in inches
- the width of the stairs in inches
Results
- the total rise of the step(s) in inches
- total run of the step(s) in inches
- the slope of the stairs in degrees
- the amount of concrete needed in cubic feet
- concrete needed in cubic yards
- required concrete in cubic metres
Conversions
one cubic inch (in³) = 0.000578703703703704 cubic feet (ft³) one cubic inch (in³) = 0.0000214334705075445 cubic yards (yd³) one cubic inch (in³) = 0.000016387064 cubic metres (m³)
Example Calculation
Number of Steps: 5 Rise: 7 inches Run: 11 inches Throat Depth: 5 inches Width of Stairs: 36 inches
Calculate Total Rise and Total Run
Total Rise = 7 inches * 5 = 35 inches Total Run = 11 inches * 5 = 55 inches
Calculate Stair Slope
Stair Slope = arctan?(7/11) * 180 ÷ π arctan(0.63636363636364) = 0.566729 radians 0.566729 * 180 ÷ π = 32.471179°
Calculate Volume
Calculate Half Base Area:
A = Rise *Run * Width / 2
7 * 11 *36 ÷ 2 = 2772 ÷ 2 = 1386 cubic inches
Calculate Sloped Side Volume
Compute the length of the hypotenuse (slope length):
h = √7² + 11² = √49 + 121 = √170 = 13.0384
Multiply by width and throat depth:
B = h * Width * Throat Depth
13.0384 * 36 * 5 = 2346.912 in³
Sum A and B:
Single Step Volume = A + B = 1386 + 2346.912 = 3732.912
Calculate Volume for (Number of Steps-1)
V1 = Single Step Volume * (Number of Steps - 1)
V1 = 3732.912 * 4 = 14931.648 in³
Calculate Volume for the Top Step (which is a full rectangle):
V2 = Rise * Run * Width
V2 = 7 *11 * 36 =2772 in³
Total Volume:
Total Volume = V1 + V2
14931.648 + 2772 = 17703.648 in³
Convert Volume to Cubic Feet, Yards, and Meters:
Cubic Feet = 17703.648 * 0.000578703703703704 = 10.245 ft³ Cubic Yards = 10.245 * 0.037037037037037 = 0 .37945 yd³ Cubic Metres = 10.245 * 0.028316846592 = 0.29 m³
Summary of Results:
Total Rise: 35 inches Total Run: 55 inches Stair Slope: 32.47° Concrete Volume: Cubic Feet: = 10.25 ft³ Cubic Yards: = 0.38 yd³ Cubic Meters: = 0.29 m³