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Volume Change with Width, Depth, and Height

Volume Change with Width, Depth, and Height
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2017-07-18 04:10
FunctionCoordinate GeometrySolid Geometry
This example demonstrates how the volume of a prism changes with width, depth, and height. Key mathematical concepts include volume calculation and similarity transformation. Using GeoGebra commands such as Polygon, Prism, and Volume, you can dynamically adjust the dimensions of the prism and observe the volume changes. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(D, B, E, F) → poly1, d, b, e, f
  2. Prism(poly1, C) → a, G, edgeBG, edgeEH, edgeFI, edgeCG, edgeGH, edgeHI, edgeCI, H, I, faceBDCG, faceBEHG, faceEFIH, faceCDFI, faceCGHI, edgeCD
  3. Volume(a) → volumea
  4. Point(a) → Pointa

AI Drawing Prompt Reference

Draw a prism and observe how its volume changes by adjusting its width, depth, and height. First, draw a quadrilateral base, then draw a prism with this base. Finally, calculate and display the volume of the prism.
The prompt above was compiled from the original drawing commands and is for reference only.