Geometry

Question Analysis
This question focuses on determining the similarity of two square - based pyramids using the given base side lengths and heights.
The main focus is on comparing the ratios of corresponding linear dimensions (base side length and height) to see if they meet the similarity requirements.

Key Concept Explanation
For two square - based pyramids to be similar, the ratios of all corresponding linear dimensions must be equal.
Here, the base side length and the height are important linear dimensions that help define the shape of the pyramid.
If the ratio of the base side lengths of two pyramids is not the same as the ratio of their heights, the pyramids are not similar.

Step-by-Step Solution
Calculate the ratio of the base side lengths of Pyramid B to Pyramid A: .
Calculate the ratio of the heights:

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