SOLUTION: The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure. S.A. equals 240 insquared S.A. equals 150

Algebra ->  Volume -> SOLUTION: The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure. S.A. equals 240 insquared S.A. equals 150      Log On


   

Question 1157384: The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
S.A.
equals
240 insquared
S.A.
equals
1500 insquared
V
equals
3375 incubed
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of surface areas is 240:1500 = 4:25 = (2^2):(5^2).

That means the scale factor (ratio of linear measurements) is 5:2; and the ratio of volume measurements is (5^3):(2^3) = 125:8.

Given 3375 as the volume of the larger figure, the volume of the smaller can be found with the proportion

125%2F8+=+3375%2Fx

I leave the calculations to you....