Volume of a Cuboid and Volume of Water Inside It

This GeoGebra example demonstrates the volume of a cuboid (rectangular prism) and the volume of water contained within it, visualized in 3D. It shows how the water volume changes as the water level rises inside the cuboid, linking the geometric volume formula (length × width × height) to a practical filling scenario. Core mathematical concepts include solid geometry, volume calculation, and proportional reasoning about partial filling. The construction uses GeoGebra commands such as Polygon to create the base rectangle, Prism to generate the cuboid, Textfield for inputting dimensions (length, width, height), Vector and VerticalText for labeling edges and water level, and defines multiple faces (e.g., faceABFE, faceBCGF) and edges (e.g., edgeAE, edgeBF) to clearly render the 3D structure. Suitable for middle school to high school students learning volume concepts, and useful for teachers demonstrating dynamic volume changes or for students exploring the relationship between water height and volume.