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Surface Area of Rectangular Prism by Joey Lankelma

Surface Area of Rectangular Prism by Joey Lankelma
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2016-09-19 05:58
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the surface area calculation of a rectangular prism. Key mathematical concepts include the geometric features of a rectangular prism and area calculation. Using GeoGebra commands such as Intersect, Point, Segment, etc., the example dynamically shows the faces and edges of the rectangular prism. Suitable for middle and high school students learning solid geometry and area calculation.

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

AI Drawing Prompt Reference

Draw a rectangular prism with its six faces and twelve edges. Start by drawing the base rectangle, then construct the side rectangles perpendicular to the base, and finally connect all vertices to form the complete prism. Note that the base is a rectangle, and the sides are vertical rectangles.
The prompt above was compiled from the original drawing commands and is for reference only.