MathPlotAI Logo MathPlotAI

Volume of a Rectangular Prism by Patrick Lane

Volume of a Rectangular Prism by Patrick Lane
Loading the math board and drawing, please wait…
2017-04-19 07:52
Solid GeometryGeometric ConstructionSlider Animation
This example allows you to adjust the dimensions of a rectangular prism using sliders to observe changes in volume. Key mathematical concepts include the volume calculation of a rectangular prism. It utilizes commands like Segment, Polygon, and Text in GeoGebra, suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Segment(B, D) → c
  4. Segment(C, D) → d
  5. Segment(B, E) → e
  6. Segment(E, F) → f
  7. Segment(F, D) → g
  8. Segment(H, F) → h
  9. Segment(G, H) → i
  10. Polygon(A, G, D, B) → poly1, a_1, g_1, d_1, b_1
  11. Polygon(B, E, F, D) → poly2, b_2, e_1, f_1, d_2
  12. Polygon(G, H, F, D) → poly3, g_2, h_1, f_2, d_3
  13. Text("V=" + height + "x" + width + "x" + length) → text2
  14. Text("V=" + (height * length * width) + "cm³") → text1

AI Drawing Prompt Reference

Draw a rectangular prism and adjust its length, width, and height to observe changes in volume. First, draw four vertices A, B, C, and D, then connect these points to form four rectangular faces, and finally display the volume formula and calculation result beside it.
The prompt above was compiled from the original drawing commands and is for reference only.