ABSTRACT
Simpsons Rule The Area is divided into an even number of strips of equal width, and therefore has an odd number of ordinates at the division points
area = SðAþ 2Bþ 4CÞ
where S = common interval (strip width) A = sum of first and last ordinates B = sum of remaining odd ordinates C = sum of the even ordinates
The Volume can be calculated by the same formula, but by substituting the area of each coordinate rather than its length
Trapezoidal Rule A given trench is divided into two equal sections, giving three ordinates, the first, the middle and the last
volume = S ðAþ Bþ 2CÞ
where S = width of the strips A = area of the first section B = area of the last section C = area of the rest of the sections
Prismoidal Rule A given trench is divided into two equal sections, giving three ordinates, the first, the middle and the last
volume = L ðAþ 4Bþ CÞ
where L = total length of trench A = area of the first section B = area of the middle section C = area of the last section
