How To Calculate The Volume of Concrete For Trapezoidal Footing

Trapezoidal footing is that footing which has two portions one is the bottom rectangle portion and 2nd is the upper inclined portion. Today I have the topic of these footing to find the volume of the concrete. How To Calculate The Volume of Concrete For Trapezoidal Footing. Concrete For Trapezoidal Footing | Calculate The Concrete For Trapezoidal Footing

How To Calculate The Volume of Concrete For Trapezoidal Footing

Calculate the volume of the concrete of this footing with the help of some given dimension. we use this dimension to find the volume of the concrete.

Bottom Rectangle Portion

The Length of the bottom Rectangle Portion  =L= 3.5m

The Width of the bottom Rectangle Portion = W= 2.5m

The bottom Rectangle Portion = H= 0.200m

1st Step to calculate the volume of this portion

The volume of the bottom Rectangle Portion =L × W × H

The volume of the bottom Rectangle Portion= 3.5 × 2.5 × 0.200

The volume of the bottom Rectangle Portion= 1.750m³

Upper Inclind or trapezoidal Portion

The Length of the Upper Inclind or trapezoidal Portion =L= 400mm=0.400m

The Width of the Upper Inclind or trapezoidal Portion =W= 200mm = 0.200m

The Height of the Upper Inclind or trapezoidal Portion =H= 400mm = 0.400m

 2nd Step to calculate the volume Upper Inclind or trapezoidal Portion

For calculation of these shapes by using this formula

The volume of the Upper Inclind or trapezoidal Portion Formula= 1/3[A1+A2+(√A1 ×A2)H]

For calculation, the volume must be needed Area of the bottom rectangle portion and upper portion

Now Calculate the area of both portion

Area 1 = A1 =        L × W

Area 1 = A1 =        3.5 ×  2.5

Area 1 = A1 = 8.75m²

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Now Area of 2nd upper portion

Area 2 = A2 =          L × W

Area 2 = A2 =         0.400  ×  0.200

Area 2 = A2 =     0.080m²

Now All Values put into the formula

The volume of the Upper Inclined or trapezoidal Portion = 1/3[A1+A2+(√A1 ×A2)H]

The volume of the Upper Inclined or trapezoidal Portion =   1/3 [8.75+0.080+(√8.75+0.08)0.40

The volume of the Upper Inclined or trapezoidal Portion  =  1/3 ( 8.83+2.97)0.4

The volume of the Upper inclined or trapezoidal Portion =    1/3(4.72)

The volume of the Upper Inclined or trapezoidal Portion =     4.72/3 =  1.5733m³

Now  We Calculate The Total volume of Concrete for  inclined or trapezoidal footing 

The Total volume of inclined or trapezoidal footing = Volume of the bottom rectangle + volume of the inclined portion

The Total volume of inclined or trapezoidal footing = 1.750 + 1.5733 

The Total volume of Concrete for  inclined or trapezoidal footing =  3.323m³

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