MathPlotAI Logo MathPlotAI

Edited Surface Area of Cuboid

Edited Surface Area of Cuboid
Loading the math board and drawing, please wait…
2017-12-01 20:00
Coordinate GeometrySolid Geometry
This example demonstrates how to calculate the surface area of a cuboid using geometric construction. Key mathematical concepts include solid geometry and area calculation. By using commands like Vector, Polygon, and If, users can dynamically adjust the dimensions of the cuboid and observe changes in the surface area. Suitable for middle and high school students learning solid geometry and area calculation.

GeoGebra Commands & Parameters

  1. Vector(PTP_1, PB_3) → tpsb
  2. Vector(PTPF_1, PTP_1) → tpf1
  3. Vector(PTP, PB_2) → tpa1
  4. Vector(PTPF, PTP) → tpf
  5. Vector(PBK, PB) → bk1
  6. Vector(PBK_1, PB_1) → bk11
  7. Vector(PFT_1, PB_3) → ftb13
  8. Vector(PFT, PB_2) → fta1
  9. Vector(PSB_1, PB_3) → sbb13
  10. Vector(PSB, PB_1) → sbb
  11. Vector(PSF_1, PB_2) → sfa1
  12. Vector(PSF, PB) → sfb
  13. Polygon(SF_3, SF, SF_1, SF_2) → aSideFront, a, b, c, d
  14. If(dist < 100, PTPF + ((dist * Length[tpf] / 100); Angle[tpf]), PTP + (((dist - 100) * Length[tpa1] / 100); Angle[tpa1])) → TP_3
  15. If(dist < 100, PTPF_1 + ((dist * Length[tpf1] / 100); Angle[tpf1]), PTP_1 + (((dist - 100) * Length[tpsb] / 100); Angle[tpsb])) → TP_2
  16. Polygon(TP_3, TP_2, TP_1, TP) → aTop, a_1, b_1, c_1, d_1
  17. Polygon(BK_3, BK_2, BK_1, BK) → aBack, a_2, b_2, c_2, d_2
  18. Polygon(BT, BT_1, BT_2, BT_3) → aBottom, a_3, b_3, c_3, d_3
  19. Polygon(SB, SB_1, SB_2, SB_3) → aSideBack, a_4, b_4, c_4, d_4
  20. Polygon(FT, FT_1, FT_2, FT_3) → aFront, a_5, b_5, c_5, d_5
  21. Midpoint(b_1) → HXts
  22. Midpoint(d_2) → HXbs
  23. Midpoint(c_5) → HXfs
  24. Area(BK_3, BK_2, BK_1, BK) → bb