Pyramid Surface Area Dynamic Demonstration

This GeoGebra example constructs a three-dimensional model of a pyramid (square-based) and dynamically illustrates the calculation of its surface area. The core mathematical concepts involve solid geometry, including the total surface area of a pyramid, areas of triangular lateral faces, base polygon area, and the use of auxiliary lines such as median lines and intersection points to define geometric elements. Construction highlights: the IntersectPath command generates the edges of the pyramid, Point defines vertices A, B, C, D, etc., and Polygon builds the base and lateral triangular faces; objects include multiple points, segments, polygons, and text labels (text1 to text5) that display area values or formulas. Suitable for upper secondary or early university students learning surface area calculations in solid geometry, and useful for teachers in classroom demonstrations or for students to explore how the surface area changes with vertex positions, deepening spatial reasoning skills.