Square Pyramid Area and Volume

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2016-04-25 12:55

This example demonstrates the calculation of surface area and volume for a square pyramid. It involves core mathematical concepts like geometric construction, polygon area, solid volume, and limits. Key GeoGebra commands used include Segment, OrthogonalLine, Line, Point, Intersect, Polygon, Pyramid, Net, Distance, and Textfield to construct the pyramid model and compute its properties. Suitable for high school solid geometry teaching and introductory mathematical modeling.

GeoGebra Commands & Parameters

Segment(A, B) → a
OrthogonalLine(A, a) → b
Line(B, b) → c
Point(b) → C
OrthogonalLine(C, b) → d
Intersect(c, d) → D
Polygon(B, D, C, A) → poly1, b_1, d_1, c_1, a_1
Pyramid(poly1, h) → e, E, face1, face2, face3, face4, edge1, edge2, edge3, edge4
Net(e, Net) → g, F, faceFGJ, faceGHK, faceHIL, faceFIM, edgeFG, edgeGH, edgeHI, edgeFI, edgeFJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeFM, H, I, J, K, L, M, faceFGHI
Distance(A, B) → distanceAB
Distance(B, D) → distanceBD
Textfield() → InputBox1
Textfield() → InputBox2