Posted by **Anonymous** on Wednesday, December 12, 2012 at 8:47pm.

what is the surface area of two similar containers are 1125 n 375 what is the volume for the container if the other one is 450

- math -
**Reiny**, Thursday, December 13, 2012 at 12:58am
surface area of similar solids is proportional to the square of their sides

1125 : 375= s1^2 : s2^2

= 45:15 = 9 : 3 = 3:1

s1 : s2 = √3 : 1

the volume of two similar solids is proportional to the cube of their sides

You don't say whether 450 is the larger or the smaller

I will assume it to be the larger

450 : x = √3^3 : 1^3

450 / x = 3√3

3√3x = 450

x = 450/(3√3) = 150/√3 or 50√3 after rationalizing

if 450 was the smaller, solve

x/450 = √3^3 / 1^3

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