• # question_answer Volume of two cubes are in the ratio 1 : 27, find the ratio of their surface areas. A)  2 : 9                            B)  1 : 9     C)  1 : 11                          D)  2 : 13

(b): $\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{1}{27}=\frac{{{a}_{1}}^{3}}{{{a}_{2}}^{3}}=\frac{1}{27}$ $\Rightarrow \frac{{{a}_{1}}}{{{a}_{2}}}=\frac{1}{3}$ (where a,, a, are sides of cubes respectively) $\Rightarrow \frac{{{a}_{1}}^{2}}{{{a}_{2}}^{2}}=\frac{1}{9}\Rightarrow \frac{6{{a}_{1}}^{2}}{6{{a}_{2}}^{2}}=\frac{1}{9}$ or $\frac{{{S}_{1}}}{{{S}_{2}}}=\frac{1}{9}$.