Software calculation volume

This method starts by triangulating the existing terrain. This involves joining the points in the terrain to create a continuous surface of connected triangles. This step is repeated for the proposed terrain. The next stage is to merge these two triangulations, to create a third triangulation which contains all the edges of the original triangulations.

This will be used to perform the calculations, and merging the two input triangulations means that every detail of both the existing and the proposed will be included in the calculations. The last stage is to calculate the cut and fill of each vertex on the calculation TIN. These values can be used to calculate the cut and fill for each triangle, and the total volumes are easily obtained by adding all the triangles together.

Due to the great complexity of these calculations and the thousands of triangles that are generated it is not practical to calculate triangular prisms by hand. Instead, these calculations are done with specialised software like Kubla Cubed.

However, it should be noted that not all earthworks software uses this method; some software calculations are based on automated high-density grid calculations or the cross section method used in conjunction with TINS. There are several great advantages to the triangular prism method.

First and foremost, this method is the most mathematically complete of the three. Since every detail of the existing and proposed terrain is retained in the merged triangulation nothing is lost in these calculations whereas all other methods accept a certain degree of loss due to details falling within the density of the grids or cross sections.

Another advantage of this method is that you can represent the finest level of detail, even if a site is very large. Using both the grid and cross section methods you have to define the density of the grid squares or sections, and any detail that is within this spacing is liable to be lost. With the triangular prism method, on the other hand the finest level of detail can the represented even in very large sites, as having a high density of triangles in one area does not have the knock on effect of requiring other areas of the site to have the same detail.

This means that even on a very large site you can represent a small trench without any loss of accuracy. Triangulation of existing terrain. Here you can calculate unknown values of both 2D and 3D objects. Under 2D objects options, you can choose to calculate perimeter, area, diagonal, height, circumradius, inradius, etc. You can also calculate perimeter or area of Circle, circular ring Annulus , ellipse, parallelogram, rectangle, regular polygon, sector of circle, segment of circle, square, star polygon, television screen, trapezium, and triangle.

Under 3D objects option, you can choose to calculate volume, surface area, inradius, circumradius, number of faces, number of vertices, number of edges, tube radius, axis, semi axis, etc. Calculations can be made for: Buckminster ball, cone, cube, cuboid, cylinder, ellipsoid, frustum of cone, frustum of pyramid, regular dodecahedron, regular icosahedron, regular octahedron, regular pyramid on polygonal base, regular pyramid on square base, regular tetrahedron, sphere, spherical dome, spherical triangle, and torus.

If required, you can also choose to take a printout of the result along with formula used. Option can be chosen to display the results up to 14 significant figures. Precise Calculator is a good simple calculator, that can be used to calculate a number of mathematical problems including geometrical calculations. This geometry solver can be used to calculate perimeter, area, surface area, etc.

Here, you are provided with the formula that is to be used in area calculator, volume calculator, and surface area calculator. It may prove out to be a bit tricky to use, so in order to know how to use geometry solver feature of this freeware, go through the process specified:. Calculatormatik is a simple software that can be used to solve geometry problems.

It contains a number of geometry calculator options. In order to work with this freeware to solve geometrical problems, just open this freeware and choose the option that you want to calculate. In the new window that appears, enter known values, like: figure whose value is to be selected and its dimensions.

On clicking Calculate button, calculation is performed and the result is displayed. Solid Geometry is a simple freeware that can be used as a geometry calculator software. It can be used to calculate volume and surface area of 3D objects. The formula used for calculation is also displayed.

The different elements of the Kubla Cubed above user interface are briefly described below:. A more detailed analysis can be produced in a report or spreadsheet. Notes on Display Units : Before starting, it is worth making sure the display units are set the same as your survey points file. Kubla Cubed can display either metric or imperial English units. These will initially be set to a default value depending on the regional settings of the computer.

However, this setting should be checked by clicking Measure in the menu bar and then Display Units. After the display units are set correctly, it is a good idea to first familiarise yourself with the basic layout. Importing the Survey Point File. Once the survey of your stockpile is complete, either using ground survey equipment or a drone UAV , you should have a txt file containing all the points.

Then select Feature Surface. After that, select the Points tab on the far right. Click on the one to Add from File. You can now check and amend the file format settings so that the X,Y,Z columns in your file are processed into the table correctly. There is more information about this on our tutorials page. Automatic outlines are generated by the software, and will use the points you have added, to create an outline that is shrink wrapped around the points.

Alternatively, you can draw an extrapolate outline yourself around the boundary of your existing ground surface. The volume of vinegar necessary can be calculated using the equation provided below:. A cone is a three-dimensional shape that tapers smoothly from its typically circular base to a common point called the apex or vertex. Mathematically, a cone is formed similarly to a circle, by a set of line segments connected to a common center point, except that the center point is not included in the plane that contains the circle or some other base.

Only the case of a finite right circular cone is considered on this page. Cones comprised of half-lines, non-circular bases, etc.

The equation for calculating the volume of a cone is as follows:. While she has a preference for regular sugar cones, the waffle cones are indisputably larger. The volume of the waffle cone with a circular base with radius 1. Now all she has to do is use her angelic, childlike appeal to manipulate the staff into emptying the containers of ice cream into her cone.

A cube is the three-dimensional analog of a square, and is an object bounded by six square faces, three of which meet at each of its vertices, and all of which are perpendicular to their respective adjacent faces. The cube is a special case of many classifications of shapes in geometry, including being a square parallelepiped, an equilateral cuboid, and a right rhombohedron.

Below is the equation for calculating the volume of a cube:. EX: Bob, who was born in Wyoming and has never left the state , recently visited his ancestral homeland of Nebraska. Overwhelmed by the magnificence of Nebraska and the environment unlike any other he had previously experienced, Bob knew that he had to bring some of Nebraska home with him.

Bob has a cubic suitcase with edge lengths of 2 feet, and calculates the volume of soil that he can carry home with him as follows:. A cylinder in its simplest form is defined as the surface formed by points at a fixed distance from a given straight line axis. In common use, however, "cylinder" refers to a right circular cylinder, where the bases of the cylinder are circles connected through their centers by an axis perpendicular to the planes of its bases, with given height h and radius r.

The equation for calculating the volume of a cylinder is shown below:. EX: Caelum wants to build a sandcastle in the living room of his house. Because he is a firm advocate of recycling, he has recovered three cylindrical barrels from an illegal dumping site and has cleaned the chemical waste from the barrels using dishwashing detergent and water. The barrels each have a radius of 3 ft and a height of 4 ft, and Caelum determines the volume of sand that each can hold using the equation below:.

He successfully builds a sandcastle in his house, and as an added bonus, manages to save electricity on nighttime lighting, since his sandcastle glows bright green in the dark. A rectangular tank is a generalized form of a cube, where the sides can have varying lengths.

It is bounded by six faces, three of which meet at its vertices, and all of which are perpendicular to their respective adjacent faces.

The equation for calculating the volume of a rectangle is shown below:. EX: Darby likes cake.