Geometry

Question Analysis  
This question involves determining which rectangular prism is similar to a given prism by comparing ratios of corresponding dimensions (length, width, height).
The main focus is identifying equal scaling factors across all three dimensions.  

Key Concept Explanation  
For two rectangular prisms to be similar, the ratios of their length, width, and height must be identical.
This means each dimension of the new prism must be a constant multiple (scale factor) of the original prism’s dimensions.  

Step-by-Step Solution  
1. Identify the scale factor for Prism Z’s dimensions:  
  Original dimensions:  
2. Check each option’s ratios:  
  Option A:  
    , ,  
    All ratios = → Similar  
  Option B:  
    , ,  
    Inconsistent ratios → Not similar  
  Option C:  
   

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