Volume with Rectangular Cross-sections

This GeoGebra example demonstrates how to compute the volume of a three-dimensional solid using rectangular cross-sections, illustrating the core idea of the slicing method in integral calculus. The solid is visualized as a stack of rectangular slices perpendicular to an axis, with each slice's area varying along the axis; the total volume is the integral of these cross-sectional areas. Key mathematical concepts include definite integrals, cross-sectional area functions, solid geometry, and volume calculation in 3D. The construction uses GeoGebra commands such as OrthogonalLine, Intersect, Segment, Midpoint, Point, Plane, and Polygon to create multiple rectangular cross-sections (poly1 through poly1_5) that together form the solid. This is suitable for advanced high school or introductory college calculus students, and serves as an effective teaching tool for visualizing the volume integral formula.