we know that
If two solids are similar
then
the ratio of their corresponding sides are equal and is called the scale factor
Part 1)
In this problem
\(scale\ factor= \frac{2}{9}\)
The ratio of their surface areas is equal to the scale factor squared
\(scale\ factor^{2}=( \frac{2}{9})^{2} =\frac{4}{81}\)
therefore
the answer is the option A
\(\frac{4}{81}\)
Part 2)
In this problem
\(scale\ factor= \frac{3}{5}\)
The ratio of their surface areas is equal to the scale factor squared
\(scale\ factor^{2}=( \frac{3}{5})^{2} =\frac{9}{25}\)
therefore
the answer is the option D
\(\frac{9}{25}\)
