MathPlotAI Logo MathPlotAI

Surface Area of Pyramids (Part 2)

Surface Area of Pyramids (Part 2)
Loading the math board and drawing, please wait…
2020-05-20 16:31
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to calculate the surface area of a pyramid. It involves important geometric concepts such as the surface area calculation of a pyramid. Using GeoGebra commands like Vector, Translate, Segment, Sequence, etc., it dynamically shows the faces of the pyramid and calculates its total surface area. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(B_1, Y) → u
  2. Vector(B_1, Z) → v
  3. Vector(B_1, X) → w
  4. Translate(O, Vector[(h * w)]) → S
  5. Vector(S, O) → z
  6. Translate(S, Vector[(sin(k°) * z)]) → S'
  7. Segment(O, S) → l
  8. Sequence((x(O), y(O)) - (r * (((sin(0°) * sin(i°)) * v) + ((cos(0°) * sin(i°)) * v) - (cos(i°) * u))), i, 0, k_2, k_2 / Faces) → liste1
  9. Segment(Element[liste1, 1], S) → j
  10. OrthogonalLine(View3D, yAxis) → a
  11. OrthogonalLine(View3D, xAxis) → b
  12. Translate(O, w) → O'_1
  13. Segment(Element[liste1, 1], S) → d
  14. Sequence(Segment[Element[liste1, i], S], i, 1, Faces) → liste4
  15. Sequence(Segment[Element[liste1, i], Element[liste1, i + 1]], i, 1, Faces) → liste3
  16. Translate(O, Vector[(f * v)]) → R
  17. Sequence((x(S'), y(S')) - (aa * (((sin(k°) * sin(i°)) * v) + ((cos(k°) * sin(i°)) * v) - (cos(i°) * u))), i, 0, k_2, k_2 / Faces) → liste6
  18. Segment(Element[liste1, 1], Element[liste1, 2]) → m
  19. Segment(Element[liste1, 2], S) → q
  20. Segment(Element[liste1, 2], O) → c_1
  21. Sequence(Midpoint[Element[liste6, i], Element[liste6, i + 1]], i, 0, Faces) → liste7
  22. Sequence(Polygon[Element[liste1, i], Element[liste1, i + 1], S], i, 0, Faces) → liste8
  23. Sequence(Polygon[Element[liste1, i], Element[liste1, i + 1], O], i, 0, Faces) → liste11
  24. Polygon(O, Element[liste1, 1], Element[liste1, 2]) → poly1, d_1, e_1, f_1
  25. Sequence(Polygon[Element[liste1, i], Element[liste1, i + 1], Element[liste7, i + 1]], i, 0, Faces) → liste10
  26. Sequence(Polygon[Element[liste1, i], Element[liste1, i + 1], Element[liste7, i + 1]], i, 0, Faces) → liste2