# Calculate The Concrete For The Trapezoidal Footing

## Calculate The Concrete For Trapezoidal Footing |Volume of Concrete For Trapezoidal Footing

**Calculate The Concrete for The Trapezoidal Footing**

This article will calculate the volume of concrete for the trapezoidal footing | volume of concrete for the trapezoidal footing. What is the trapezoidal footing? How To Calculate The Concrete For Trapezoidal Footing

**What is the trapezoidal footing?**

trapezoidal footing ould be the basic type of footing that carries unequal masses from two columns once the heaviest load outside the column distance is proscribed. it’s used once the area unit he worlds the realm of footing is mounted and also the soils at the location is loose soil.

**Example**

**Given data**

We will divide the footing into two portions: a rectangle and 2^{nd} is a trapezoidal portion.

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**1**^{st} portion rectangle

^{st}portion rectangle

Length =3m

Width=2.5m

Height = 0.200m

Now Calculate the volume of the rectangle portion

Volume of rectangle portion= length x width x height

**Volume of rectangle portion= 3 x 2.5 x0.200=1.5m³**

**2**^{nd} portion

^{nd}portion

Length =0.400m

Width =0.200m

Height =0.400m

Now we calculate the volume of trapezoidal portion

**Using formula 1/3 {A1 + A2 + (√A1 x A2)H}**

Volume of trapezoidal portion = 1/3 {A1 + A2 + (√A1 x A2)H}

We need the area of rectangle portion and trapezoidal portion

**We calculate the area of both portion**

**Area of rectangle portion =A1**

A1= length x width

A1 = 3 x 2.5

**A1=7.5m²**

**Area of 2**^{nd} portion = A2

^{nd}portion = A2

A2 = length x width

A2 =0.400 x 0.200

**A2 = 0.08m²**

**Now put The value in formula **

Volume of trapezoidal portion = 1/3 {A1 + A2 + (√A1 x A2)H}

Volume of trapezoidal portion = 1/3 {7.5+0.08+((√7.5 x 0.08)0.4}

Volume of trapezoidal portion = 1/3(7.58+0.60)0.4

Volume of trapezoidal portion = 1/3(3.341)

**Volume of trapezoidal portion 1.113m³**

**Now the total volume of concrete for the trapezoidal footing**

the volume of concrete for trapezoidal footing= volume of rectangle +volume of trapezoidal

**volume of concrete for trapezoidal footing= 1.500 +1.113 =2.613m3**

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