The goal of the paper is to find the volume of water in a ditch. An example image of ditch is given in Appendix C. The first act that before any calculation can be performed is to record the field work. Once at the property the ditch must be identified. Three points of elevations per section should be measured by the surveyor; one point is at the center of the ditch (the lowest point) and the two ones are at the ends (the highest points). The sections are detailed in Appendix A. Using the elevation points from the property, we can define a model function and then approximate the corresponding cross-sectional area and the required volume. We are omitting any pipelines or drainage of the ditch.
"Calculus Application to Topographic Mapping,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 3.
DOI: https://doi.org/10.5038/2326-3622.214.171.12408 Available at: https://scholarcommons.usf.edu/ujmm/vol10/iss1/3
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.
Arcadii Grinshpan, Mathematics and Statistics
Julio Rodriguez, CEO at Global Projects Surveying LLC
Problem Suggested By:
Wilnelia Badillo, Global Projects Surveying LLC