Trapezoidal Footing Formula with Calculation
2 min readOct 18, 2019
Trapezoidal Footing Formula
As shown in Fig of trapezoidal footing. In this footing, two different parts show in fig.
- Rectangle/ Square Cubic Area
- Truncated Pyramid Area
Trapezoidal Footing =
Rectangle/ Squared Cubic Area (V1)
Truncated Pyramid Area (V2)
The volume of trapezoidal footing
= Rectangle/ Square cubic area (V1) + Truncated Pyramid Area (V2)
V = V1 +V2
V = Volume of Trapzodial Footing .
V1 = Rectangle/ Square Cubic Area (V1)
Rectangle Cubic Area
- V1 = L x B x H
- L = Length of the cuboid = m. / mm.
- B = Breadth of the cuboid = m. / mm.
- H = Hight of the cuboid = m. / mm.
V2 = Truncated Pyramid Area (V2)
Truncated Pyramid Area (V2)
- V2 = (h/3) (A1 + A2 +√(A1 . A2))
- A1 = L1 x B1 = Sq.m /Sq. mm
- A1 = Truncated Pyramid Bottom Area
- A1 = L2 x B2 = Sq.m /Sq. mm
- A2 = Truncated Pyramid Top Area
- h = Height of Truncated Pyramid = M. / MM.
Derive Trapezoidal Pyramid Formula.
- V2 = (h/3) (A1 + A2 +√(A1 + A2))
One Cubicl = Six part of Truncated Pyramid
- V2 =Truncated Pyramid Area
- Cubic = 1/6 Truncated Pyramid area
- A3 =1/6 Truncated Pyramid Area
Truncated PyramidArea
= 1/6 A3
= 1/6 (a-b) 3
= 1/6 (a-b) (a2 + b2 +ab )
a-b = 2h
a2 = a x a = A1
b2 = b x b = A2