The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is · ABC26GN4877

Let their edges be $a$ and $b$. Then, $$\begin{aligned} \frac{a^{3}}{b^{3}}=\frac{8}{27} \Leftrightarrow\left(\frac{a}{b}\right)^{3}=\left(\frac{2}{3}\right)^{3} \Leftrightarrow \frac{a}{b}=\frac{2}{3} & \Leftrightarrow \frac{a^{2}}{b^{2}}=\frac{4}{9} \\ \Leftrightarrow & \frac{6 a^{2}}{6 b^{2}}=\frac{4}{9} . \end{aligned}$$