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Cuboid Area and Volume

Cuboid Area and Volume
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2016-10-28 16:43
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to calculate the surface area and volume of a cuboid using geometric construction. Key mathematical concepts include the properties of a cuboid, and the methods for calculating its surface area and volume. Using GeoGebra commands like Odcinek3D and Polygon, the edge lengths of the cuboid can be dynamically adjusted to observe changes in its surface area and volume. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

  1. Odcinek3D(A, B, D, A') → c_3, d
  2. Odcinek3D(B, C, A, B') → e, f
  3. Odcinek3D(C, D, B, C') → g, i
  4. Odcinek3D(D, A, C, D') → j, k
  5. Odcinek3D(A', A, D', B') → l, m
  6. Odcinek3D(B', B, A', C') → n, p
  7. Odcinek3D(C', C, B', D') → q, r
  8. Odcinek3D(D', D, C', A') → s, t
  9. Odcinek3D(A', D', B', A) → a_1, b_1
  10. Odcinek3D(B', A', C', B) → c_1, d_1
  11. Odcinek3D(C', B', D', C) → e_1, f_1
  12. Odcinek3D(D', C', A', D) → g_1, h_1
  13. Polygon(A, B, C, D) → wielokąt1, a_2, b_2, c_2, d_2