# 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

## 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