Honors Geometry Companion Book, Volume 2

10.1.1 Solid Geometry (continued)

A cross section of a rectangular pyramid is described in this example. The cross section of this rectangular pyramid is a rectangle. Note that this is not the only cross section that could be made of this figure. Other cross sections might not form a rectangle.

Example 4 Food Application

A triangular prism is cut in different ways to produce differently shaped cross sections in this application example. To form a triangle, the cheese can be cut in a plane parallel to the bases. However, a cut in a plane that runs from the short edge of a base to the vertex of the opposite base will also form a triangle shape.

To form a rectangle, the cheese can be cut in a plane perpendicular to the bases. A cut parallel to either of the long rectangular faces of the prism will also form a rectangle.

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