# Trapezoidal Footing Volume Calculator

A quadrilateral with one pair of parallel sides are called as trapezoid. The footing is the foundation where the load of the structure is transferred to the soil. The footings that are slopped are called as trapezoidal footings. All the slope sides of the structure are maintained at 45 degree. The height and breadth of the lower and upper shape are entered in the trapezoidal footing volume calculator and find the volume of trapezoid footing.

A quadrilateral with one pair of parallel sides are called as trapezoid. The footing is the foundation where the load of the structure is transferred to the soil. The footings that are slopped are called as trapezoidal footings. All the slope sides of the structure are maintained at 45 degree. The height and breadth of the lower and upper shape are entered in the trapezoidal footing volume calculator and find the volume of trapezoid footing.

Code to add this calci to your website

#### Formula:

V = h / 3(A1 + A2 + √(A1 * A2))
**Where,**
V = Volume of Trapezoid Footing
h = Height of Trapezoidal
A1 = Area of the Lower Shape
A2 = Area of the Upper Shape
A1 = m x n (Lower Height x Lower Breadth)
A2 = o x p (Upper Height x Upper Breadth)
### Example:

A pillar is built where the lower shape has the height and breadth as 10mm, 15mm, the height and breadth of the upper shape is 20mm and 25mm. The height of the trapezoid measured is 30mm. Find the trapezoidal footing volume of the pillar.

#### Solution:

Find the area of the lower shape and upper shape:

A1 = 10 x 15 = 150mm

A2 = 20 X 25 = 500mm

Trapezoidal footing volume calculations:

V = 30 / 3(150 + 500 + √150 * 500)

= 9238.6128mm^{3}