Geometry

Question Analysis

This question involves determining the number of pairs of parallel planes in a prism. The main focus is on applying the definition of parallel planes and understanding the geometric structure of a rectangular prism.

 

Key Concept Explanation:

Parallel planes are defined as planes that do not intersect each other, regardless of how far they are extended. In contrast, intersecting planes meet at a line.

 

Step-by-Step Solution:

In a rectangular prism:

In a rectangular prism, opposite faces are always parallel:

Front and back faces are parallel.

Left and right faces are parallel.

Top and bottom faces are parallel.

 

No other parallel pairs exist beyond these three.

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