Geometry

Question Analysis
This question focuses on applying the similarity principle to square - based pyramids to find the surface area of a smaller similar figure given the surface area of the larger one and the scale factor.
The main focus is on correctly using the formula for the ratio of surface areas of similar solids.

Key Concept Explanation
For two similar solids with a scale factor , the ratio of their surface areas and is .
We can use this formula to solve for the unknown surface area when the other values are provided.

Step - by - Step Solution
Let , , square meters (surface area of the larger pyramid), and be the surface area of the smaller pyramid.
We have the equation

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