Concrete Volume Calculator for Steps

Spike

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.

Concrete Calculator for Steps

Concrete Steps Calculator

Number of Steps #
Rise in
Run in
Throat Depth of Stairs in
Width of Stairs in
Total Rise in
Total Run in
Stair Slope °
Amount of concrete needed:
Cubic Feet ft³
Cubic Yards yd³
Cubic Meters

Calculator

  1. enter the number of steps
  2. the riser height of the step(s) in inches
  3. the run of the step(s) in inches
  4. the thickness (depth) of the throat in inches
  5. the width of the stairs in inches

Results

  1. the total rise of the step(s) in inches
  2. total run of the step(s) in inches
  3. the slope of the stairs in degrees
  4. the amount of concrete needed in cubic feet
  5. concrete needed in cubic yards
  6. 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

When Ordering Concrete

This concrete calculator will help you in estimating the amount of concrete needed for your project. The amount given as needed, does not include any waste. It is recommended, depending on the job you are doing, to add anywhere from an extra 4% to 10% to your concrete order to make sure you have enough concrete to finish the job. Ask when ordering the concrete. They will be able to give you a good idea of what is needed.
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