SA Prism

SA Prism
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2017-04-22 02:21
In collections Surface Area
This example demonstrates the construction of a slanted prism, involving equilateral triangles and definite integrals. Using GeoGebra commands like Polygon and Prism, the lateral and base faces of the prism can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(D, B, A, C) → poly1, d, b, a, c
  2. Prism(poly1, 4) → e, E, edgeDE, edgeBF, edgeAG, edgeCH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceBDEF, faceABFG, faceACHG, faceCDEH, faceEFGH
  3. 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
  4. Net(e, h) → i, W, H_1, I_1, J_1, K_1, L_1, face1, face2, face4, face5, face3, Z, face6, edgeWZ, edge4, edge7, edge1, edge2, edge12, edge5, edge6, edge15, A_1, edge8, edge9, edge16, edge10, edge11, edge17, edge3, edge14, edge18, edge13, B_1, C_1, D_1, E_1, F_1, G_1