## Calculation of volume under x,y coordinates

## Calculation of volume under x,y coordinates

(OP)

Is there a method to calculate volume of an irregular poly formed by crushed ore stockpile. I plotted the rough poly with excel, I intend to do it manually and checking accuracy with a software program. i have calculated the area under the coordinates. how do i calculate the volume? i have the heights of the coordinates, sorry i am definitely not a Pro.

## RE: Calculation of volume under x,y coordinates

TTFN

## RE: Calculation of volume under x,y coordinates

## RE: Calculation of volume under x,y coordinates

Each patch boundary is simply half the distance to the adjacent data point.

TTFN

## RE: Calculation of volume under x,y coordinates

## RE: Calculation of volume under x,y coordinates

TTFN

## RE: Calculation of volume under x,y coordinates

A * (z

_{1}+ z_{2}+ z_{3})/3where A is the plan area of the triangle.

There are heaps of programs that will do this sort of thing, and all you'd have to do is import your data into one of these.

## RE: Calculation of volume under x,y coordinates

Northing Easting RL (metres)

1838.9 2222.3 191.8

1849.2 2221 192

1858.3 2222.3 191.8

1865.6 2231.5 190.6

1862 2239.8 189.9

1857.5 2243.6 189.5

1849.1 2245 189.3

1839 2240.9 189.8

1833.2 2232.4 190.5

1849.9 2228.5 201.3

1854 2231.9 201

1848.7 2234 200.4

## RE: Calculation of volume under x,y coordinates

TTFN

## RE: Calculation of volume under x,y coordinates

## RE: Calculation of volume under x,y coordinates

The remainder's volumes should be extensions of the 1/3 base_area*height equation from solid geometry. The general case involves finding the one side of the solid that is a quadrilateral and using that as the base. The altitude is the distance from the point that doesn't reside in the quadrilateral.

TTFN

## RE: Calculation of volume under x,y coordinates

## RE: Calculation of volume under x,y coordinates

The volume of the bottom part is relatively trivial, i.e., calculate the area of the base and multiply by the height.

The left over solid is more complicated. The general case is that one of the three vertical sides will be a quadrilateral, while the other two vertical sides, the base, and the top are triangular.

I'm guessing the simplest solution is to calculate the area of the quadrilateral and multiply by 1/3 the altitude of the solid referenced to the plane of the quadrilateral.

TTFN

## RE: Calculation of volume under x,y coordinates

## RE: Calculation of volume under x,y coordinates

## RE: Calculation of volume under x,y coordinates