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Given that a varies directly with the cu...

Given that a varies directly with the cube of b. When a is 3,b is also 3. find b when a is 24.

Text Solution

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Since a varies directly with cube of b, then
`a=kb^(3)`
Given that, a=3,b=3
`3=k(3)^(3)`
`k=3//27=1//9`
Now, `a=kb^(3)`
`implies24=1//9b^(3)`
`b^(3)=24xx9`
`b^(3)=216`
`thereforeb=6`.
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