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Question
Find the sub-triplicate ratio of the following :
`(64 "m"^3)/(729 "n"^3) : (216 "m"^3)/(27"n"^3)`
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Solution
`(64 "m"^3)/(729 "n"^3) : (216 "m"^3)/(27"n"^3)`
`= ((64 "m"^3)/(729 "n"^3))^(1/3) : ((216 "m"^3)/(27"n"^3))^(1/3)`
`= (4"m")/(9"n") : (6"m")/(3"n")`
`= (4"m")/(9"n") xx (6"m")/(3"n")`
`= 2/9`
Sub-triplicate raoo = 2 : 9
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