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Sphere Inside a Rectangular Prism

Sphere Inside a Rectangular Prism
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2018-04-08 22:49
Solid GeometryParametric EquationGeometric Construction
In collections Geo&Alg:Area Volume Pythagorean Th. CCSS G-GMD Geometric Measurement and Dimension
This example demonstrates the positioning and size variation of a sphere inside a rectangular prism, involving core concepts in solid geometry, volume calculation, and parametric equations. It uses GeoGebra commands like Polygon, Prism, Min, and Sphere. Suitable for high school students and math enthusiasts exploring 3D shapes and geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, D, C) → q1, a, b, d, c
  2. Prism(q1, h) → f, I, edgeAI, edgeBJ, edgeDK, edgeCL, edgeIJ, edgeJK, edgeKL, edgeIL, J, K, L, faceABJI, faceBDKJ, faceCDKL, faceACLI, faceIJKL
  3. Min({l / 2, w / 2, h / 2}) → g
  4. Sphere(M, g) → e