## What is the mid ordinate rule formula?

Also called the midpoint rule – the mid ordinate rule is another method to numerically estimate integrals. It states: If an area of integration is divided into n strips, the area of the strip between and is given by so that the width of the strip is multiplied by the – value at the midpoint.

**What is mid ordinate method?**

Mid-ordinate Rule is another method used to find the approximate area under a graph. Since integration between two limits also gives the area under a graph then the Mid-ordinate Rule can often be used as a way of finding an approximate value of a definite integral.

### What is average ordinate rule?

The rule states that (to the average of all the ordinates taken at each of the division of equal length multiplies by baseline length divided by number of ordinates).

**What is Prismoidal formula?**

1) Prismoidal Formula: This formula is based on the assumption that A1 and A2 are the areas at the ends and Am is the area of mid section parallel to ends, L=Length between the ends. From mensuration, volume of a prism having end faces is in parallel planes: V=L/6*(A1+A2+4Am) This is known as prismoidal formula.

#### What is rectangular rule?

The rectangle rule approximates the integral of a function f(x) on the closed and bounded interval [a, a+h] of length h > 0 by the (signed) area of the rectangle with length h and height the value of the function f(x) evaluated at the midpoint of the interval, f(a+h/2).

**How do you calculate area in surveying?**

To the sum of the first and last ordinate, twice the sum of intermediate ordinates is added. This total sum is multiplied by the common distance. Half of this product is the required area.

## What is trapezoidal rule in surveying?

The trapezoidal rule and Simpson’s rule are numerical approximation methods to be used to approximate the area under a curve. The area is divided into (n) equal pieces, called a subinterval or trapezoid. Each subinterval is approximated as a trapezoid considering the outer edge as straight line in the trapezoidal rule.

**What is mid ordinate rule in surveying?**

Midpoint-ordinate rule The rule states that if the sum of all the ordinates taken at midpoints of each division multiplied by the length of the base line having the ordinates (9 divided by number of equal parts).

### What are the methods of area calculations?

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

**What is the Prismoidal rule?**

It states that the volume of any prismoid is equal to one-sixth its length multiplied by the sum of the two end-areas plus four times the mid-area.

#### What is mid sectional area method?

First by avergaing the depths of two consecutive sections. From the mean-depth the area of mid-section is to be worked out and volume of arthwork to be compted by multiplying the area of mid-secion by the distance between the two original sections. Volume of earthwork = Am∗D.