Abstract
Given a solid in R3 whose base is contained in the xy-plane and parallel cross-sections perpendicular to the xy-plane are regular polygons, the volume and surface area are determined. Additionally, the asymptotic behavior of the solid as the number of sides of the cross-sectional polygon increases is analyzed (Refer to PDF file for exact formulas).
Publication Date
2004
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
Coppenbarger, Matthew, "Solids whose parallel cross-sections are regular polygons" (2004). Accessed from
https://repository.rit.edu/article/413
Campus
RIT – Main Campus
COinS
Comments
Thanks to Vassilios Kovanis, James Marengo, and Richard Orr for their helpful suggestions provided. And to the many freshman that this author has taught over the past few years that were patient enough to derive (2.4) on their own as a part of class. Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in February 2014.