Question

If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?

Please explain how to solve this also :)

Answer 1

1728/ 125

Explanation:

The ratio of corresponding lengths of the figures = ratio of the square root of their areas.

So ratio of lengths = 12/5.

Now volume is 3 dimensional so the ratio is the cube of the lengths

= 12^3/5^3

= 1728/ 125.