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6 September, 11:59

Explain why a cross section of a polyhedron does not always match the base of that polyhedron.

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  1. 6 September, 12:02
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    A cross section of a prism will match the base of the prism when the plane of the section is parallel to the base.

    If the polyhedron is not a prism, or the lateral faces are not perpendicular to the base, or the plane of cross section is not parallel to the base, you can get a variety of cross-section shapes.

    For example, the cross sections of a cube include ...

    triangle, square, rectangle, trapezoid, general quadrilateral, pentagon, hexagon
  2. 6 September, 12:19
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    Answer: A cross section of a prism will match the base of the prism when the plane of the section is parallel to the base.

    If the polyhedron is not a prism, or the lateral faces are not perpendicular to the base, or the plane of cross section is not parallel to the base, you can get a variety of cross-section shapes.

    Step-by-step explanation.
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