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Volume of a Cuboid

Volume of a Cuboid
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2015-02-12 18:10
Solid GeometryGeometric Construction
This example demonstrates the calculation of a cuboid's volume by constructing it and applying the volume formula (length×width×height). It involves core concepts like cuboid geometry, 3D space understanding, and coordinate geometry. GeoGebra commands and objects used include Polygon, Cube, and various points and polygons (e.g., k_1, k_2, k_3, A, B, C, D, E, F, G, H, poly1, a, b, c, d, poly2), which help visualize the 3D shape and compute its volume. Suitable for high school solid geometry education or self-study.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(A, E, F, B) → poly2, a_1, e, f, b_1
  3. Polygon(F, G, C, B) → poly3, f_1, g, c_1, b_2
  4. Polygon(G, H, D, C) → poly4, g_1, h, d_1, c_2
  5. Polygon(H, E, A, D) → poly5, h_1, e_1, a_2, d_2
  6. Polygon(F, G, H, E) → poly6, f_2, g_2, h_2, e_2
  7. Cube((0, 0, 0), (1, 0, 0), (1, 1, 0)) → i, I, face5, faceJKLM, edge2, edge1, edge4, edge6, edge3, edgeIM, edgeJM, edgeJK, J, edge5, edgeKL, edge7, edgeLM, K, L, M, face1, face3, face2, face4