Volume with Square Cross-sections on a Parabolic Base

Volume with Square Cross-sections on a Parabolic Base
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2016-11-21 13:10
This example demonstrates the calculation of volume under a parabolic base using square cross-sections. Key mathematical concepts include parabolas, volume calculation, and geometric construction. Using GeoGebra commands such as OrthogonalLine, Intersect, and Polygon, the construction of the parabola and square cross-sections is achieved, leading to volume calculation. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → f
  2. Intersect(f, xAxis) → B
  3. Polygon(B, C, D, A) → poly1, b, c_1, d, a