Question

______ is the triplicate ratio of $\frac{x}{2}:\sqrt[3]{3x}$

• A. $\frac{x^3}{8}:x^3$
• B. $8:x$
• C. $x^3:8$
• D. $x^2:8$

Answer 1

The correct option is D $x^2:8$

The triplicate ratio of $a:b$ is $a^3:b^3$
$\therefore$ The triplicate ratio of $\frac{x}{2}:\sqrt[3]{3x}$ is ${\left(\frac{x}{2}\right)}^3:{\left(\sqrt[3]{3x}\right)}^3=\frac{x^3}{8}:x=\frac{x^2}{8}$
$\therefore x^2:8$.