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.
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)
Number of Steps: 5 Rise: 7 inches Run: 11 inches Throat Depth: 5 inches Width of Stairs: 36 inches
Total Rise = 7 inches * 5 = 35 inches Total Run = 11 inches * 5 = 55 inches
Stair Slope = arctan?(7/11) * 180 ÷ π arctan(0.63636363636364) = 0.566729 radians 0.566729 * 180 ÷ π = 32.471179°
Calculate Half Base Area:
A = Rise *Run * Width / 2
7 * 11 *36 ÷ 2 = 2772 ÷ 2 = 1386 cubic inches
Compute the length of the hypotenuse (slope length):
h = √7² + 11² = √49 + 121 = √170 = 13.0384
B = h * Width * Throat Depth
13.0384 * 36 * 5 = 2346.912 in³
Single Step Volume = A + B = 1386 + 2346.912 = 3732.912
V1 = Single Step Volume * (Number of Steps - 1)
V1 = 3732.912 * 4 = 14931.648 in³
V2 = Rise * Run * Width
V2 = 7 *11 * 36 =2772 in³
Total Volume = V1 + V2
14931.648 + 2772 = 17703.648 in³
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
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