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Volume of Rectangular Prisms by Brooke

Volume of Rectangular Prisms by Brooke
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2017-04-20 20:58
Solid GeometryGeometric Construction
This example demonstrates the calculation of the volume of rectangular prisms through dynamic visualization. It involves core mathematical concepts such as the volume formula V = length × width × height and three-dimensional geometric shapes. The construction utilizes GeoGebra's Sequence command and objects like length a, width b, height c, and lists list1 to list6. It is suitable for middle school students and above to learn and understand the method of calculating the volume of three-dimensional geometric figures.

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