If the scale factor of two similar solids is 3 : 10, what is the ratio of their corresponding areas and volumes? * ratio of area 100:9; ratio of volumes 1000:27 ratio of area 9:100; ratio of volumes 27:1000 ratio of area 3:10; ratio of volume 9:100 ratio of area 10:3; ratio of volume 100:9
The correct answer is ratio of area 9:100; ratio of volumes 27:1000
To find the ratio of the corresponding areas, we square the scale factor:
(3/10)^2 = 9/100
To find the ratio of the corresponding volumes, we cube the scale factor:
(3/10)^3 = 27/1000
So, the correct ratios are ratio of area 9:100 and ratio of volumes 27:1000.