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Surface Area of a Cube by Sabine Berthold-Pfalz

Surface Area of a Cube by Sabine Berthold-Pfalz
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2019-05-27 20:52
Coordinate GeometrySolid GeometryGeometric Construction
This example uses GeoGebra to demonstrate the surface area calculation of a cube. Key mathematical concepts include solid geometry and area calculation. Users can dynamically adjust the edge length of the cube and observe changes in surface area using commands like Intersect, Polygon, and Segment. Suitable for middle school and above students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(A, B, C, D) → Vieleck1, a_1, b, c, d
  3. Polygon(B, B', C', C) → Vieleck2, b_1, b', c', c_1
  4. Polygon(D, C, C', D') → Vieleck3, d_1, c_2, c'_1, d'
  5. Segment(D', A') → e
  6. Segment(A', A) → f
  7. Segment(A', B') → g
  8. Polygon(E'', E, G, G'') → Vieleck4, e'', e_1, g_1, g''
  9. Polygon(G, H, H', G') → Vieleck5, g_2, h, h', g'
  10. Polygon(E, F, H, G) → Vieleck6, e_2, f_1, h_1, g_3
  11. Polygon(E, E', F', F) → Vieleck7, e_3, e', f', f_2
  12. Polygon(F, F'', H'', H) → Vieleck8, f_3, f'', h'', h_2
  13. Polygon(F'', F''', H''', H'') → Vieleck9, f''_1, f''', h''', h''_1