annahss
annahss annahss
  • 26-05-2017
  • Mathematics
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The ratio of the volume of two solids is 1331:729. What is the ratio of the surface area

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mreijepatmat
mreijepatmat mreijepatmat
  • 26-05-2017
volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:

∛1331 = ∛11³  = 11

&  ∛729 = ∛9³  = 9

So the linear scale is 11/9 ==> then the ratio of their surface area will be:

11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
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