MathPlotAI Logo MathPlotAI

Pyramid Calculator

Pyramid Calculator
Loading the math board and drawing, please wait…
2017-06-13 01:33
Solid GeometryMatrixGeometric Construction
This example demonstrates the geometric construction and property calculation of a pyramid, involving core concepts like solid geometry, polygons, angle measurement, and matrix operations. It utilizes GeoGebra commands such as Point, Pyramid, Intersect, OrthogonalLine, Segment, Polygon, and Angle for construction and measurement. Suitable for high school students and math enthusiasts for learning and practice in solid geometry.

GeoGebra Commands & Parameters

  1. Point(zAxis) → E
  2. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB, edgeBC, Base, edgeAD
  3. Intersect(xAxis, Base) → F
  4. OrthogonalLine(C, edgeDE, space) → g
  5. OrthogonalLine(A, edgeDE, space) → h
  6. Intersect(edgeDE, h) → G
  7. Segment(G, C) → f
  8. Segment(G, A) → i
  9. Segment(A, C) → j
  10. Intersect(j, xAxis) → H
  11. Segment(E, H) → Height
  12. Polygon(A, G, C) → poly1, c, Length, g_1
  13. Angle(A, G, C) → FaceAngle
  14. OrthogonalLine(E, Base, space) → l
  15. Segment(H, F) → m
  16. Angle(m, l) → SlopeAngle
  17. Segment(G, H) → n
  18. Angle(G, H, F) → η
  19. Angle(E, C, A) → EdgeAngle

AI Drawing Prompt Reference

Draw a pyramid with a square base ABCD and vertex E. Start by defining the four vertices A, B, C, and D for the base, then add vertex E. Draw the base ABCD, connect E to each vertex of the base to form the pyramid's edges. Measure the side lengths and angles of the base ABCD, calculate the height of the pyramid, and finally draw triangle AGC and measure its angles.
The prompt above was compiled from the original drawing commands and is for reference only.