What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of their edge lengths is 8.5?
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Answer:
Option D. [tex]\frac{64}{25}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its surface areas is equal to the scale factor squared
In this problem
The scale factor is equal to [tex]\frac{8}{5}[/tex]
therefore
The ratio of its surface areas is equal to
[tex](\frac{8}{5})^{2}=\frac{64}{25}[/tex]