a) The ratio of the lengths of the sides of two squares is 1:4. What is the ratio of the are of the two squares?

b) The ratio of the lengths of the sides of two cubes is 2:5. What is the ratio of the volumes?

I don't get these questions :/

3 answers

If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

If two polygons are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.

a) ( 1 / 4 ) ^ 2 = 1 / 16

b ) ( 2 / 5 ) ^ 2 = 8 / 125

b ) ( 2 / 5 ) ^ 3 = 8 / 125

Thanks :)