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Surface Area Problem 2

Surface Area Problem 2
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2017-05-04 12:28
Solid GeometryCalculusIntegral
In collections Surface Area Practice Problems
This example demonstrates how to construct a prism and calculate its surface area using GeoGebra. Core math concepts include area, surface area, definite integral, fractions, volume, and integral calculus. The construction utilizes commands and objects such as Polygon, Prism, Point, Angle, Segment, Distance, and Midpoint. Suitable for high school students learning solid geometry and calculus.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Prism(poly1, 4.554780866196905) → e, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
  3. Point(c) → I
  4. Angle(A, I, D) → α
  5. Segment(A, I) → f
  6. Distance(A, I) → distanceAI
  7. Midpoint(A, I) →
  8. Distance(D, C) → distanceDC
  9. Midpoint(D, C) →
  10. Distance(A, B) → distanceAB
  11. Midpoint(A, B) →
  12. Distance(H, E) → distanceHE
  13. Midpoint(H, E) →
  14. Distance(C, B) → distanceCB
  15. Midpoint(C, B) →
  16. Distance(A, E) → distanceAE
  17. Midpoint(A, E) →