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Box Volume Comparison

Box Volume Comparison
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2016-08-01 23:49
Solid GeometryProbability & StatisticsGeometric Construction
This example demonstrates how to compare the dimensions of a rectangular prism and a cube by dividing a length. It involves core math concepts: volume calculation, power functions, variance, unit circle, boxplot, and division. Constructed using commands like Segment, Point, Sort, Sequence, Polygon, Distance in GeoGebra. Suitable for middle school and above students learning solid geometry and data analysis.

GeoGebra Commands & Parameters

  1. Segment(Corner[1] + (1, 1), Corner[2] + (-1, 1)) → f
  2. Point(f) → A
  3. Point(Segment[Corner[1] + (1, 1), A]) → B_1
  4. Point(Segment[Corner[1] + (1, 1), A]) → C_1
  5. Sort(x({D, B_1, C_1, A})) → list1
  6. Sequence(Element[list1, i + 1] - Element[list1, i], i, 1, 3) → list2
  7. Polygon(B, G, I, F) → poly1, e, g, i, f_1
  8. Polygon(F, H, J, I) → poly2, f_2, h, j, i_1
  9. Polygon(G, I, J, K) → poly3, g_1, i_2, j_1, k
  10. Distance(A, M) → a
  11. Polygon(C, P, S, Q) → poly4, o, p, s, q
  12. Polygon(Q, R, T, S) → poly5, q_1, r, t_2, s_1
  13. Polygon(S, P, U, T) → poly6, s_2, p_1, u, t_1
  14. Segment(A, L) → l
  15. Segment(A, D) → m