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Volume of a Rectangular Prism by Chloe

Volume of a Rectangular Prism by Chloe
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2017-04-19 13:51
FunctionSequenceSolid Geometry
This example demonstrates the calculation of the volume of a rectangular prism. Key mathematical concepts include the volume formula for a rectangular prism. Using GeoGebra commands like Sequence, multiple instances of rectangular prisms are created to show how the volume changes with different dimensions.

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

AI Drawing Prompt Reference

Draw a rectangular prism and show how its volume changes by adjusting length, width, and height. First, draw the four sides, then connect the vertices to form the bottom and top. The length ranges from 0 to b, the width from 0 to c, and the height from 0 to a.
The prompt above was compiled from the original drawing commands and is for reference only.