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Truck Volume Calculation

Truck Volume Calculation
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2016-03-24 06:41
Solid GeometryCalculusIntegralGeometric Construction
This example demonstrates how to calculate the volume of a truck using ellipses and integrals. It involves core mathematical concepts such as ellipses, integrals, inequalities, and special points. The construction utilizes commands like FitPoly and Integral, along with numerous objects (A1-A26, B1-B14). Suitable for high school and above students learning solid geometry and calculus applications.

GeoGebra Commands & Parameters

  1. FitPoly(list2, 6) → g
  2. FitPoly(list3, 3) → f
  3. Integral((g(x) * (2 * g(x))), 0, 4) → a
  4. Integral(g(x)^(2), 4, 11) → b
  5. Integral((f(x) * (2 * f(x))), 11, 18.2) → c