Asked by Anonymous
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
Answers
Answered by
Reiny
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
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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