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Volume of a Rectangular Prism by stacey

Volume of a Rectangular Prism by stacey
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2017-04-10 15:28
Solid Geometry
This example demonstrates the calculation of the volume of a rectangular prism using adjustable sliders for length, width, and height. It involves core mathematical concepts like the volume formula V=abc and 3D spatial geometry. The construction utilizes the Sequence command to generate lists and objects such as a, b, c, list1 to list6 for dynamic modeling. Suitable for middle school and above students to understand 3D geometry volume calculations and parametric modeling.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(n, a - n / 2), (n, ((-n)) / 2)], n, 0, b) → list1
  2. Sequence(Segment[(n + b, ((-b)) / 2 + n / 2), (n + b, ((-b)) / 2 + n / 2 + a)], n, 0, c) → list2
  3. Sequence(Segment[(0, a - n), (b, ((-b)) / 2 - n + a)], n, 0, a) → list3
  4. Sequence(Segment[(b, ((-b)) / 2 + n), (b + c, ((-b)) / 2 + n + c / 2)], n, 0, a) → list4
  5. Sequence(Segment[(n, ((-n)) / 2 + a), (n + c, c / 2 - n / 2 + a)], n, 0, b) → list5
  6. Sequence(Segment[(n, a + n / 2), (n + b, a + n / 2 - b / 2)], n, 0, c) → list6