Volume Construction on a Semicircular Base with a Square
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This example demonstrates constructing a square on a semicircular base and calculating its volume. Key mathematical concepts include geometric construction, solid geometry, and volume calculation. Using GeoGebra commands such as Segment, Polygon, Prism, etc., the construction process is visually illustrated. Suitable for middle school and above students or teachers to understand the method of volume calculation in solid geometry.
GeoGebra Commands & Parameters
Segment(A, E) → gPolygon(E, F, G, A) → poly1, e, f_1, g_1, a_1Distance(A, E) → bPrism(poly1, b) → c, B, edgeBE, edgeCF, edgeDG, edgeAH, edgeBC, edgeCD, edgeDH, edgeBH, C, D, H, faceBCFE, faceCDGF, faceAGDH, faceAEBH, nPolygon((a + d, f(a + d), 0), (a + d, 0, 0), (a + (2 * d), 0, 0), (a + (2 * d), f(a + d), 0)) → poly2, i, j, k, l