Question 1181345
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If the ratio of similarity (ratio of measurements of any corresponding lengths) in two similar figure is 1:n, then the ratio of corresponding area measurements is 1:n^2, and the ratio of corresponding volume measurements is 1:n^3.<br>
Given that the ratio of volumes in this problem is 1:27, the ratio of similarity is 1:3, and the ratio of corresponding area measurements is 1:9.<br>
ANSWER: The S.A. of the prince's fort will be 9*5680=51120 ft^2.<br>