SOLUTION: A square pyramid has a volume of 100 cm cubed. A similar smaller square pyramid has surface area equal to one fifth of the larger. What is the volume of the smaller pyramid? Give y

Question 1112480: A square pyramid has a volume of 100 cm cubed. A similar smaller square pyramid has surface area equal to one fifth of the larger. What is the volume of the smaller pyramid? Give your answer in surd form.
I can get the answer but not in surd form, so I'm not doing it the proper waay. Please help
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

In any two similar figures, if the ratio of linear measurements (scale factor) is a:b, then the ratio of area measurements is a^2:b^2, and the ratio of volume measurements is a^3:b^3.

In this problem you know the ratio of areas is 1:5; that means the scale factor is 1:sqrt(5), and the ratio of volumes is 1:5*sqrt(5). So given that the volume of the larger pyramid is 100 cm^3, the volume of the smaller is

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