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Surface Area of a Rectangular Prism

Surface Area of a Rectangular Prism
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2019-09-25 22:37
PolygonSolid GeometryGeometric Construction
This example demonstrates how to calculate the surface area of a rectangular prism. It involves core mathematical concepts such as area, solid geometry, linear functions, and natural numbers. Construction highlights include using GeoGebra commands and objects like Intersect, Point, Segment, Circle, OrthogonalLine, Polygon, Prism, Textfield, Distance, and Net. Suitable for middle school students and above to learn about solid geometry and surface area calculations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, abs(a)]) → B
  3. Segment(A, B) → b
  4. Circle(B, c) → d
  5. OrthogonalLine(B, y = 0) → e
  6. Intersect(d, e, 2) → C
  7. OrthogonalLine(C, e) → f
  8. Intersect(f, yAxis) → D
  9. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  10. Prism(poly1, g) → h, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
  11. Textfield() → inputBox1
  12. Distance(A, B) → distanceAB
  13. Distance(B, C) → distanceBC
  14. Distance(C, G) → distanceCG
  15. Net(h, i) → k, I, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, J, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, K, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, L, M, N, O, P, Q