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

Question

Mathematics

Hamilton

25 January, 06:41

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

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Answers (2)

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Zane Mata · Answer 1

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

Finley Wilson · Answer 2

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.