SOLUTION: Two similar buckets have heights of 12cm and 18cm respectively. If the volume of the larger bucket is 168¾cm³, find the volume of the smaller bucket.

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Question 1098758: Two similar buckets have heights of 12cm and 18cm respectively. If the volume of the larger bucket is 168¾cm³, find the volume of the smaller bucket.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +A%5B1%5D+ = the area of the
base of the 12 cm tall bucket in cm3
Let +A%5B2%5D+ = the area of the
base of the 18 cm tall bucket in cm3
---------------------------------
+12%2FA%5B1%5D+=+18%2F+A%5B2%5D+
+A%5B2%5D%2A18+=+168.75+
+A%5B2%5D+=+9.375+ cm2
+12%2FA%5B1%5D+=+18%2F9.375+
+12%2FA%5B1%5D+=+1.92+
+1.92A%5B1%5D+=+12+
+A%5B1%5D+=+6.25+ cm2
--------------------------
+V%5D1%5D+=+A%5B1%5D%2A12+
+V%5B1%5D+=+6.25%2A12+
+V%5B1%5D+=+75+ cm3
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The volume of the smaller bucket is 75 cm3
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check:
+12%2FA%5B1%5D+=+18%2FA%5B2%5D+
+12%2F6.25+=+18%2F9.375+
+12%2A9.375+=+18%2A6.25+
+112.5+=+112.5+
OK