SOLUTION: The surface area of two similar solids are 394ft squared and 1134ft squared. The volume of the larger solid is 1745ft cubed. What is the volume of the smaller solid?

Algebra ->  Surface-area -> SOLUTION: The surface area of two similar solids are 394ft squared and 1134ft squared. The volume of the larger solid is 1745ft cubed. What is the volume of the smaller solid?      Log On


   



Question 863392: The surface area of two similar solids are 394ft squared and 1134ft squared. The volume of the larger solid is 1745ft cubed. What is the volume of the smaller solid?
Answer by Alan3354(69443) About Me  (Show Source):
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The surface area of two similar solids are 394ft squared and 1134ft squared. The volume of the larger solid is 1745ft cubed. What is the volume of the smaller solid?
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SA is a function of the square of the dimensions.
--> dimension ratio of sqrt%28394%2F1134%29
Vol is a function of the cube of the dimensions.
--> Vol ratio of %28sqrt%28394%2F1134%29%29%5E3
Vol of smaller = 1745%2A%28sqrt%28394%2F1134%29%29%5E3
Vol =~ 357.37 cu ft