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Cuboid Net with Water Surface Visualization

Cuboid Net with Water Surface Visualization
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2019-09-01 10:34
PolygonSolid GeometrySlider Animation
This example visualizes the cuboid's net and the surface in contact with water using sliders f and f_w. It involves core math concepts like solid geometry, polygon area calculation, and geometric transformations. Constructed with commands such as Textfield, Polygon, Prism, Net, and objects like edges and faces, it is suitable for high school mathematics teaching, demonstrating the integration of spatial geometry and real-world applications.

GeoGebra Commands & Parameters

  1. Textfield(l) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(h) → InputBox3
  4. Textfield(h_w) → InputBox4
  5. Polygon(A, B, C, D) → q1, a, b_1, c, d
  6. Prism(q1, h) → e, E, edge1, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, face1, faceBCGF, faceCDHG, face2, faceEFGH
  7. Net(e, f) → g, 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
  8. Polygon(W_A, W_B, W_C, W_D) → q_w, w_a, w_b, w_c, w_d
  9. Prism(q_w, h_w) → e_w, W, edge2, edge3, edge4, edge5, edgeWZ, edge7, edge8, edge6, Z, A_1, B_1, face3, face5, face6, face4, face7
  10. Net(e_w, f_w) → g_w, C_1, L_1, M_1, N_1, O_1, P_1, face8, face9, face10, face11, face12, D_1, face13, edge9, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, E_1, edge18, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge26, edge27, F_1, G_1, H_1, I_1, J_1, K_1