Prism Surface Area Calculation

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2017-04-20 23:03

In collections Surface Area

This example demonstrates how to calculate the surface area of a prism. It involves core mathematical concepts such as area, prism, surface, combinatorics, quadratic equations, centroid, reflection, and tangent function. The construction uses GeoGebra commands like Polygon, Point, Prism, and Net. It is suitable for high school solid geometry teaching and geometric construction practice.

GeoGebra Commands & Parameters

Polygon(A, B, C, D) → poly1, a, b, c, d
Point(zAxis) → H
Prism(poly1, H) → e, E, edgeBE, edgeCF, edgeDG, edgeEH, edgeEF, edgeFG, edgeGH, F, G, faceABEH, faceBCFE, faceCDGF, faceADGH, faceEFGH, edgeAH
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

AI Drawing Prompt Reference

Draw a prism to demonstrate the calculation of its surface area, showing how multiple polygonal faces combine to form a 3D prism, including the base and top faces, key points, edges, and faces, with clear relationships between the base and top, and combine the unfolded net with the 3D prism to illustrate the composition of the surface area.

The prompt above was compiled from the original drawing commands and is for reference only.