Two cubes have their volumes in the ratio 8 125. what is the ratio of their surface areas

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1. The ratio of volumes of two cubes is 8 : 125. The ratio of their surface areas is
   

1. 1. 4 : 25
      
   2. 2 : 75
      
   3. 2 : 15
      
   4. 4 : 15

Ratio of the volumes of cubes =	8
125

⇒	l1³	=	8	⇒	l1	=	2
l2³	125	l2	25

∴ Ratio of their total surface areas =	6l1²	=	l1²	=	4
6l2²	l2²	25

Answered by Guest on 2018-01-20 03:00:02 | Votes 34 | #

right answer is 4:25

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Answered by Somu on 2020-10-07 01:01:18 | Votes 20 | #

ratio of volume of two cube $ \large = \frac{a^3}{b^3} = \frac{8}{125} = \frac{2^3}{5^3} $

ratio of area of  two cubes $ \large = \frac{4a^2}{4b^2} = \frac{4}{25} $

Hence Option (1) 4:25 is correct.