document.write( "Question 1181345: The prince of a far off land was passing through and noticed your fort. He was so impressed by its design that he wanted to build larger scale version of it to be his new castle back home. If the simplified ratio of the volume of your fort to the volume of his castle is 1:27, what will be the surface area of the prince’s castle?\r
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document.write( "My fort's S.A=5680ft^2
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document.write( "My fort's Volume=18,728.94ft^3\r
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document.write( "I tried sending this in last time but one of the tutors called it gibberish. If this question does not make sense I apologize in advance. \n" );
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Algebra.Com's Answer #811247 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "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. \n" ); document.write( "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. \n" ); document.write( "ANSWER: The S.A. of the prince's fort will be 9*5680=51120 ft^2. \n" ); document.write( " \n" ); document.write( " |