3D Geometric Demonstration of Cutting a Cube with Three Planes

This GeoGebra applet demonstrates how to cut a regular cube with three planes in three-dimensional space. The model constructs all key elements of the cube including its vertices, edges, and faces, then introduces three cutting planes that intersect the cube. Users can interactively explore how the planes slice through the solid and observe the resulting cross-sectional shapes in real time. This hands-on visualization helps students understand fundamental concepts in solid geometry such as cross-sectional shapes formed by plane intersections, spatial positional relationships between planes and polyhedra, and the structural properties of polyhedrons. The applet serves as an excellent visualization tool for studying three-dimensional geometry and spatial analytic geometry, making abstract geometric relationships more intuitive and accessible for learners. Through dynamic manipulation of the cutting planes, students can see how different orientations and positions of the planes produce different cross-sections, deepening their geometric intuition and spatial reasoning skills.