The subtriplicate ratio of $125 y^{3} : 1000 z^{6}$ is ____

5 y : 10 z^{3}

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5 y : 10 z^{2}

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1000 z^{6} : 125 y^{3}

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10^{3} : 5 y

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Solution

The correct option is A $5 y : 10 z^{2}$
The subtriplicate ratio of $a : b$ is $\sqrt[3]{a} : \sqrt[3]{b}$ .
$∴$ The subtriplicate ratio of $125 y^{3} : 1000 z^{6}$ is $\sqrt[3]{125 y^{3}} : \sqrt[3]{1000 z^{6}} = 5 y : 10 z^{2}$ .

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Similar questions

If $4 x - 5 y = 16$ and $x y = 12$ then the value of $64 x^{3} - 125 y^{3} =$ is _______

A. $4648$
B. $15616$
C. $4672$
D. $4696$
E. None of these

\frac{p (x, y)}{q (x, y)}

\frac{p (x, y)}{q (x, y)}

Find sub - triplicate ratio of :

(i) 64 : 27 (ii) $x^{3} : 125 y^{3}$

-

\frac{125}{y^{3}}

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