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Prism Construction and Net Exploration

Prism Construction and Net Exploration
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2018-09-02 12:24
PolygonSolid GeometryGeometric ConstructionSlider Animation
This GeoGebra example dynamically demonstrates the construction of a prism and its net, visually linking the 3D solid to its 2D unfolded representation. Core mathematical concepts include properties of prisms (bases, lateral faces, edges, vertices), surface area calculation, and spatial visualization. Construction highlights: the Polygon command creates the base polygon, Prism generates the solid, and Net produces the unfolded view; objects include base vertices A, B, prism vertices C–J, and faces such as faceABLK, faceBCML, and faceACMK, with parameters n, r, h controlling the number of sides, base radius, and height via sliders. This resource is ideal for middle or high school geometry, helping students grasp prism structure, nets, and surface area formulas, and is suitable for classroom demonstrations or exploratory math labs to enhance spatial reasoning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n) → poly1, a, k, C, D, E, F, G, H, I, J, b, c, d, e, f, g, i, j
  2. Prism(poly1, h) → l, K, F_2, faceABLK, faceBCML, faceACMK, face1, face3, face5, face7, face9, face11, L, face13, faceKLM, edgeAK, edgeBL, edgeCM, edge1, edge8, edge15, edge22, edge29, M, edge36, edge43, edgeKL, edgeLM, edgeKM, edge2, edge9, edge16, edge23, edge30, Z, edge37, edge44, E_1, J_1, O_1, T_1, A_2
  3. Net(l, m) → o, N, G_2, Q, R, S, T, U, V, C_1, D_1, H_1, O, I_1, M_1, N_1, R_1, S_1, W_1, Z_1, D_2, E_2, I_2, P, J_2, W, B_1, G_1, L_1, Q_1, V_1, C_2, H_2, faceNOP, A_1, faceNORQ, faceOPTS, faceNPUV, face2, face4, face6, face8, face10, face12, face14, F_1, faceQRW, edgeNO, edgeOP, edgeNP, edge4, edge11, edge18, edge25, edge32, edge39, K_1, edge46, edgeNQ, edgeQR, edgeOR, edgeOS, edgeST, edgePT, edgePU, edgeUV, edgeNV, P_1, edge5, edge6, edge7, edge12, edge13, edge14, edge19, edge20, edge21, edge26, U_1, edge27, edge28, edge33, edge34, edge35, edge40, edge41, edge42, edge47, edge48, B_2, edge49, edgeRW, edgeQW, edge3, edge10, edge17, edge24, edge31, edge38, edge45

AI Drawing Prompt Reference

Draw a prism with a regular polygon base, including its sides and net. First, create a regular polygon base, then construct the prism with this base and height h. Finally, unfold the prism to generate its net, showing all its faces and edges.
The prompt above was compiled from the original drawing commands and is for reference only.