Learn to calculate the volume of a trapezoidal footing
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It is known that maximum footing comes in trapezoidal shape. In this construction video tutorial you will learn how to determine the volume of a trapezoidal footing.
A trapezoid is formed by integrating a cuboid and a truncated pyramid.
Trapezoidal footing = Cuboid + trancated pyramid.
In order to work out the volume of trapezoidal footing, it is required to estimate the volume of a cuboid and a truncated pyramid.
In the video, the footing contains 3 parts the first one is a rectangular portion and it’s height is 2 meter. The second one is a trapezium portion and it’s height is 3 meter.
The third one is a column and it’s size is 3 x 4 meters.
Suppose the footing is divided as A and B.
Area of A will be determined as follow :-
A1 = Length x Width = 8 x 7 = 56 m2
Volume of A = Length x Width x Height = 8 x 7 x 2 = 112 m3
The volume of trapezoidal footing should be calculated with the following formula :-
V = h/3 (A1+A2+√(A1 x A2))
Here, h denotes the height of trapezoidal
A1 denotes area of lower shape
A2 denotes area of upper shape
We know, the area of lower shape = 56 m2
The area of lower shape will be determined as follow :-
Length x Width = 5 x 4 = 20 m2
Go through the following video tutorial to know the final calculation.
Video Source: Tutorials Tips
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