SOLUTION: S.A=236 in2 S.A=531 in2 V=702 in3 What is the volume of the smaller figure?

Algebra ->  Volume -> SOLUTION: S.A=236 in2 S.A=531 in2 V=702 in3 What is the volume of the smaller figure?      Log On


   

Question 1153762: S.A=236 in2
S.A=531 in2
V=702 in3
What is the volume of the smaller figure?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The problem should state that the two figures are similar; otherwise the problem makes no sense....

Assuming they are similar....

The ratio of surface areas is

236%3A531+=+4%3A9+=+2%5E2%3A3%5E2

That means the scale between the two figures is 2:3; and the ratio of volumes 2^3:3^3 = 8:27.

The volume of the larger is 702; the volume of the smaller is

702%2A%288%2F27%29+=+8%2A26+=+208