Geometric Solids 2: Cube and Its Net Exploration
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This example demonstrates a cube (regular hexahedron) in 3D space along with its corresponding 2D net, allowing students to visually explore the relationship between a solid and its unfolded surface. The core mathematical concepts include solid geometry, prisms, faces, edges, vertices, and the construction and folding of nets. Construction details: using GeoGebra commands such as Polygon to draw the base face, Prism to generate the cube, Net to create the unfolded net, and Vector to assist with translations or directions; objects include vertices A and B, polygon poly1, faces Fläche1 through Fläche5, edges Kante1 through Kante8, and interactive checkboxes checkmark1Green and checkmark1Grey for toggling views. Suitable for middle school to high school students learning solid geometry and spatial visualization, as well as for math lab activities or teacher demonstrations to understand surface area and the transformation between 3D solids and 2D nets.
GeoGebra Commands & Parameters
Polygon(A, B, 4, xOyPlane) → poly1, f, g, h, i, C, DPrism(poly1, 2) → a, F, Kante1, Kante2, Kante3, Kante4, Kante5, Kante6, Kante7, Kante8, G, H, I, Fläche1, Fläche2, Fläche3, Fläche4, Fläche5Net(a, b) → c, J, S, T, U, V, W, FlächeJKLM, FlächeJKON, FlächeKLQP, FlächeLMSR, FlächeJMTU, K, FlächeNOVW, KanteJK, KanteKL, KanteLM, KanteJM, KanteJN, KanteNO, KanteKO, KanteKP, KantePQ, L, KanteLQ, KanteLR, KanteRS, KanteMS, KanteMT, KanteTU, KanteJU, KanteOV, KanteVW, KanteNW, M, N, O, P, Q, RPrism(poly1, 2) → m, R_1, Kante9, Kante10, Kante11, Kante12, Kante13, Kante15, Kante16, Kante14, S_1, T_1, U_1, Fläche6, Fläche8, Fläche9, Fläche7, Fläche10Vector(V_1, W_1) → u