Cube Volume and Surface Area Calculation

Cube Volume and Surface Area Calculation
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2017-07-06 22:33
This example demonstrates how to construct an 8x10x7 cube using GeoGebra and calculate its volume and surface area. The core math concepts involved include volume and surface area calculations in solid geometry, as well as the representation of three-dimensional shapes. The construction uses commands like Polygon and Prism, along with objects such as A, B, C, D, poly1, a, b, d, c, E, e, F, G, H, faceABFE, faceBDGF, faceCDGH, faceACHE, faceEFGH, edgeAE, edgeBF, edgeDG, edgeCH, edgeEF, edgeFG, edgeGH, edgeEH. It is suitable for high school students learning solid geometry, helping them understand the construction and calculation of three-dimensional figures.

GeoGebra Commands & Parameters

  1. Polygon(A, B, D, C) → poly1, a, b, d, c
  2. Prism(poly1, E) → e, F, edgeBF, edgeDG, edgeCH, edgeEF, edgeFG, edgeGH, edgeEH, G, H, faceABFE, faceBDGF, faceCDGH, faceACHE, faceEFGH, edgeAE