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Two Cubes Have Their Volumes in the Ratio 1 : 27. What is the Ratio of Their Surface Areas? - Mathematics

Answer in Brief

Two cubes have their volumes in the ratio 1 : 27. What is the ratio of their surface areas?

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Solution

The rate of the value of cubes = 1:27

 `(a_1^3)/(a_2^2) = 1/27`

`a_1 /a_2 = 1/3` …… (i)

Now,

The ratio of their surface area

`s_1 : s_2 = 6a_1^2 :6a_2^2`

 `s_1/s_2 =(6a_1^2)/(6^2)`

      `=(a_1/a_2)^2`

`s_1 /s_2 = 1/9`

Hence, `s_1 : s_2 = 1 : 9`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 6 | Page 86
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