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).
Department, Program, or Center
School of Mathematical Sciences (COS)
Coppenbarger, Matthew, "Solids whose parallel cross-sections are regular polygons" (2004). Accessed from
RIT – Main Campus