BDD Volume of Pyramid Approximation by Layers

This GeoGebra example demonstrates how the volume of a pyramid can be approximated by slicing it into horizontal layers and summing the volumes of prism-like slabs, visually illustrating the Riemann-sum idea behind definite integrals. Core mathematical concepts include the pyramid volume formula, layer-wise summation, linear functions, the median value, and 3D vectors/rotation. The construction uses GeoGebra commands such as Polygon, Segment, and Intersect to define the base polygon and apex, then generates multiple horizontal cross-section polygons (poly1, poly2, poly3, etc.) with adjustable layer counts via sliders, dynamically comparing the accumulated layer volume to the exact volume. Suitable for high school or early college students learning solid geometry and introductory calculus, this interactive model helps bridge geometric intuition and integral approximation.