Geometry

Question Analysis
This question involves applying the concept of similarity to triangular prisms and determining how a change in dimensions affects the surface area.
The main focus is on using the relationship between the scale factor of the dimensions and the ratio of the surface areas of similar three - dimensional figures.

Key Concept Explanation
For two similar solids, if the scale factor of their corresponding linear dimensions is , the ratio of their surface areas and is .
Here, the scale factor , and we know the surface area of the larger prism and need to find the surface area of the smaller one.

Step - by - Step Solution
Let be the surface area of the larger prism ( square feet) and be the surface area of the smaller prism.
The scale factor , and we know that

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