Question

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?

Answer 1

Option D.
`(64)/(25)`

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
`(8)/(5)`

therefore

The ratio of its surface areas is equal to

`((8)/(5))^(2)=(64)/(25)`