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Scale Factor Volume

Scale Factor Volume
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2015-12-17 05:33
Solid GeometryCalculusTransformationGeometric ConstructionSlider Animation
This example demonstrates the volume change of various geometric shapes under different scale factors. It involves core math concepts like volume calculation, scale factor, geometric transformations, and solid geometry. Constructed using GeoGebra commands such as Polygon, Intersect, and Point, it visually exhibits how scaling affects volume. Suitable for high school and above students to learn geometric transformations and introductory calculus concepts.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G, H) → poly2, e, f, g, h
  3. Intersect(d, a) → I
  4. Intersect(b, a) → L
  5. Polygon(I, J, K, L) → poly3, i, j, k, l
  6. Point(b) → M
  7. Polygon(M, N, K, L) → poly4, m, n, k_1, l_1
  8. Intersect(h, e) → O
  9. Intersect(f, e) → R
  10. Polygon(O, P, Q, R) → poly5, o, p, q, r
  11. Intersect(g, f) → S
  12. Polygon(S, T, Q, R) → poly6, s, t, q_1, r_1