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Calculating the Volume of Robot Bodies

Calculating the Volume of Robot Bodies
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2023-03-16 17:08
Solid GeometryCalculusGeometric Construction
In collections Ⓔ Volumen zusammengesetzter Körper aus Quader und Würfel
This GeoGebra example demonstrates how to calculate the volume of robot bodies. It involves core math concepts such as solid geometry and measurement. The construction points include using GeoGebra commands: Textfield, Defined, Shuffle, Element, Vector, Translate, Sequence, RemoveUndefined, Point, Segment, LineBisector, Dilate, Polygon, etc. It is suitable for middle school and high school math education, particularly for teaching solid geometry and measurement.

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Defined((input1 * input2)) → fixed
  4. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {0, 9, 7, 7, 5, 10, 1, 5, 4, 9, 2, 5, 1, 7, 0, 4, 10, 2, 5, 8, 5, 4, 9, 7, 10, 10, 2, 9, 8, 1, 2, 6, 7, 4, 5, 8, 6, 3, 10, 1, 2, 7, 6, 9, 7, 10, 8, 0, 10, 0, 7, 3, 6, 0, 3, 4, 3, 5, 0, 0, 10, 1, 5, 10, 3, 9, 3, 1, 8, 4, 3, 0, 1, 6, 0, 0, 7, 9, 4, 9, 0, 3, 1, 9, 5, 10, 1, 0, 6, 7, 10, 5, 9, 3, 6, 8, 9, 1, 7, 7}
  5. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  6. Vector(pointVec) → vec
  7. Translate(object01L0BG1, vec) → object01L0BG1'
  8. Sequence(Segment[Vertex[object01L0BG1(1), i], Vertex[object01L0BG1'(1), i]], i, 1, 10) → object01L1Lines
  9. RemoveUndefined(Sequence[If[i ∈ {2, 3, 4, 5, 6}, object01L1Lines(i)], i, 1, 10]) → object01L2LinesManual
  10. Translate(object02L0BG1, vec) → object02L0BG1'
  11. Sequence(Segment[Vertex[object02L0BG1(1), i], Vertex[object02L0BG1'(1), i]], i, 1, 10) → object02L1Lines
  12. RemoveUndefined(Sequence[If[i ∈ {2, 6, 7, 8}, object02L1Lines(i)], i, 1, 10]) → object02L2LinesManual
  13. Translate(object03L0BG1, vec) → object03L0BG1'
  14. Sequence(Segment[Vertex[object03L0BG1(1), i], Vertex[object03L0BG1'(1), i]], i, 1, 10) → object03L1Lines
  15. RemoveUndefined(Sequence[If[i ∈ {2, 3, 4, 5, 6, 8}, object03L1Lines(i)], i, 1, 10]) → object03L1LinesManual
  16. Translate(object04L0BG1, vec) → object04L0BG1'
  17. Sequence(Segment[Vertex[object04L0BG1(1), i], Vertex[object04L0BG1'(1), i]], i, 1, 10) → object04L1Lines
  18. RemoveUndefined(Sequence[If[i ∈ {1, 5, 6}, object04L1Lines(i)], i, 1, 10]) → object04L1LinesManual
  19. Translate({Segment[pointObject04P1, pointObject04P6], Segment[pointObject04P6, pointObject04P5]}, vec) → object04L4BGKontur
  20. Translate(object06L0BG1, vec) → object06L0BG1'
  21. Sequence(Segment[Vertex[object06L0BG1(1), i], Vertex[object06L0BG1'(1), i]], i, 1, 10) → object06L1Lines
  22. RemoveUndefined(Sequence[If[i ∈ {1, 3, 4, 5, 7, 8}, object06L1Lines(i)], i, 1, 10]) → object06L1LinesManual
  23. Translate({PolyLine[{pointObject06P3, pointObject06P4, pointObject06P5}], PolyLine[{pointObject06P7, pointObject06P8, pointObject06P1}]}, vec) → object06L4BGKontur
  24. Point(object06L4BGKontur) → pointObject06P9
  25. Point(object06L0BG1) → pointObject06P10
  26. Segment(C, D) → t
  27. LineBisector(t) → g
  28. Dilate(listFrame1, 0.97, Midpoint[pointFrame1, pointFrame3]) → listFrame2
  29. Dilate(listFrame1, 1.02, Midpoint[pointFrame1, pointFrame3]) → listFrame3
  30. Sequence(Rotate[Segment[CenterFBRay + (0.5, 0), CenterFBRay + (1, 0)], i°, CenterFBRay], i, 0, 360, 30) → Flashlight
  31. Polygon(pointlips1, pointlips2, pointlips3, pointlips4) → lips, e, g_1, h, i

AI Drawing Prompt Reference

Create a 3D model of a robot body composed of multiple geometric shapes including head, torso and limbs. Use two input boxes for numeric parameters to control the robot's dimensions. Include randomly generated number sequences for demonstrating volume calculation. The robot body consists of polygons and line segments, with some components translated to create depth, and a rotating element around a center point like a wheel or light source, surrounded by scaled frames. The entire graphic illustrates solid geometry volume measurement concepts suitable for mathematics education.
The prompt above was compiled from the original drawing commands and is for reference only.