Geometry

Question Analysis
This question involves similar square - based pyramids and uses the ratio of their heights to find the volume of the larger pyramid.
The main focus is applying the volume - ratio formula for similar solids, where the ratio of volumes is the cube of the ratio of corresponding linear dimensions.

Key Concept Explanation
For similar square - based pyramids, if the ratio of their heights (a corresponding linear dimension) is , then the ratio of their volumes .
The volume of a square - based pyramid , and in similar pyramids, all linear dimensions change proportionally.

Step-by-Step Solution
Let the height ratio of the two square - based pyramids be , and the volume of the smaller pyramid cubic meters, and the volume of the larger pyramid be

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