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Cuboid Diagonal Calculation

Cuboid Diagonal Calculation
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2020-04-22 23:38
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to construct a cuboid and calculate its diagonal lengths using GeoGebra. The core math concepts involved include solid geometry, distance calculation, and diagonal properties. The construction utilizes commands/objects such as Segment, Line, Point, OrthogonalLine, Intersect, and Distance. It is suitable for high school geometry teaching or exploration by math enthusiasts.

GeoGebra Commands & Parameters

  1. Segment(A, C) → f
  2. Line(Segment_1, f) → g
  3. Line(Segment_2, f) → h
  4. Point(f) → B
  5. OrthogonalLine(B, f) → i
  6. OrthogonalLine(C, f) → j
  7. OrthogonalLine(A, f) → k
  8. Intersect(g, k) → A_1
  9. Intersect(g, i) → B_1
  10. Intersect(h, j) → C_1
  11. Intersect(h, i) → B_3
  12. Segment(A_1, B_1) → l
  13. Segment(B_3, C_1) → m
  14. Distance(A_1, B_1) → distanceA1B1
  15. Distance(B_3, C_1) → distanceB3C1
  16. Distance(A, C) → distanceAC