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Surface Area and Volume of Prisms and Cylinders

Surface Area and Volume of Prisms and Cylinders
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2015-04-09 03:44
Solid GeometryCalculusGeometric Construction
This example demonstrates the calculation of surface area and volume for prisms and cylinders. It involves core mathematical concepts such as solid geometry, geometric computation, and spatial visualization. The construction utilizes GeoGebra commands and objects like Random, Intersect, Circle, Cylinder, Point, Segment, OrthogonalLine, and Polygon. Suitable for high school students and those needing to review or learn about solid geometry.

GeoGebra Commands & Parameters

  1. Random(1, 5) → n
  2. Intersect(xAxis, yAxis) → A
  3. Random(1, 9) → i
  4. Circle(A, n) → c
  5. Cylinder(c, i) → a, d, b
  6. Intersect(xAxis, yAxis) → B
  7. Point(c) → C_1
  8. Segment(B, C_1) → r
  9. Point(d) → D
  10. OrthogonalLine(D, xOyPlane) → j
  11. Intersect(j, c, 1) → E
  12. Segment(D, E) → h
  13. Intersect(c, yAxis, 2) → F
  14. Polygon(F, I, H, G) → poly1, C, i_1, h_1, g_1
  15. Circle(J, n) → p