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Volume of a Box by James McMullan

Volume of a Box by James McMullan
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2016-10-17 22:36
Coordinate GeometrySolid Geometry
This example demonstrates how to calculate the volume of a box by changing its length, width, and height. Key mathematical concepts include volume calculation formulas. GeoGebra commands such as Random, Root, If, and Textfield are used to dynamically show volume changes. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Random(20, 40) → l
  2. Random(1, 5) → g
  3. Random(12, 20) → w
  4. Root(f) → A, B, C
  5. If((2 * x(A)) < w, false, true) → checka
  6. Textfield(n1) → InputBox1
  7. Textfield(n3) → InputBox3
  8. Textfield(n2) → InputBox2
  9. Textfield(v) → InputBox4
  10. If((2 * x(B)) < w, false, true) → checkb
  11. If((2 * x(C)) < w, false, true) → checkc
  12. If((abs(n2 - x(B)) < 0.005) ∧ b ≟ checkb, "✓", "✘") → ans2
  13. If((abs(n3 - x(C)) < 0.005) ∧ c ≟ checkc, "✓", "✘") → ans3
  14. If((abs(n1 - x(A)) < 0.005) ∧ a ≟ checka, "✓", "✘") → ans1
  15. If(ans1 ≟ ans2 ≟ ans3 ≟ "✓", d, "") → h

AI Drawing Prompt Reference

Draw a rectangular prism with a length randomly between 20 and 40, a width between 1 and 5, and a height between 12 and 20. Use input boxes to enter the length, width, and height, and dynamically show the volume of the prism. Check if the entered values meet the conditions of the prism's edges, and display a checkmark if correct or an X if incorrect.
The prompt above was compiled from the original drawing commands and is for reference only.