Geometry

Question Analysis
This problem involves similar cubes (geometric solids with proportional dimensions) and their surface areas.
The key focus is understanding how scaling the side length of a cube affects its surface area.

Key Concept Explanation
If two cubes are similar, their side lengths are proportional.  
The ratio of their surface areas is the square of the ratio of their side lengths.  
   

Step-by-step Solution
1. Determine the scaling factor:  
    The new cube has a side length of the original.  
     
2. Calculate the new surface area using the scaling factor:  
    Since surface area scales with :  
   

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