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Volume of a Rectangular Prism by Chloe Humphrey

Volume of a Rectangular Prism by Chloe Humphrey
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2017-04-24 20:39
SequenceSolid Geometry
This example demonstrates the volume calculation of a rectangular prism. Key mathematical concepts include the volume formula of a rectangular prism. Using the GeoGebra command Sequence, the edge lengths a, b, and c can be dynamically adjusted to observe changes in volume. Suitable for middle school and above students learning solid geometry.

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