Geometry

Question Analysis  
This question tests similarity of triangular prisms by comparing ratios of base sides and heights.
The main focus is verifying both base similarity and proportional height.  

Key Concept Explanation  
For prisms to be similar, their bases must be similar triangles (sides in proportion) and their heights must scale by the same factor.  

Step-by-Step Solution  
Step 1: Check similarity of base triangles  
Prism V’s base triangle sides: 6 cm, 8 cm, 10 cm  
Prism W’s base triangle sides: 9 cm, 12 cm, 15 cm  
Calculate the ratios of corresponding sides:  
 
 
 
All side ratios are equal (), so the base triangles are similar with a scale factor of .  
Step 2: Check similarity of heights  
Prism V’s height: 12 cm  
Prism W’s height: 16 cm  
Calculate the height ratio: