Question

The two solids are similar and the ratio between the lengths of their edges is 2:7 what is the ratio of their surface areas?

Answer 1

The ratio of their surface areas is
`(4)/(49)`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem the scale factor is equal to the ratio
`(2)/(7)`

and

Remember that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

therefore

In this problem the ratio of their surface areas is
`((2)/(7))^(2)=(4)/(49)`