How To Calculate Concrete Volume For Trapezoidal Footing:
A trapezoid is a combination of a cuboid and a truncated pyramid.
Trapezoidal footing = Cuboid + trancated pyramid.
So to calculate the volume of trapezoidal footing we need to calculate the volume of a cuboid and a truncated pyramid.
1. Volume of Rectangular Cuboid = length x Breadth x Height = 3 x 2 x 0.3 = 1.8 m³
2. Volume of Truncated pyramid = 1/3 (A1 + A2 + √A1A2) x h
Where A1 = Area of the top base.
A2 = Area of bottom base.
A1 = 0.6 x 0.5 = 0.3 m²
A2 = 3 x 2 = 6 m²
Volume of truncated pyramid = 1/3(0.3 + 6 + √0.3×6) x 0.3 = 0.81 m³
∴ Total volume of trapezoidal footing = Volume of Cuboid + Volume of Truncated pyramid
= 1.8 + 0.81 = 2.61 m³.
So total concrete volume for trapezoidal footing is 2.61 m³.