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

User TylerJames
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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.

User Dmazzoni
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5.3k points
4 votes

Step-by-step explanation:

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

User Kulss
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5.5k points
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