math
posted by Anonymous on .
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

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