Math, asked by abhishek9874, 1 year ago

two cubes have the volume in the ratio of 1 ratio 27 find the ratio of surface area explain​

Answers

Answered by deepsen640
1
HELLO DEAR FRIEND

given the ratio of volumes of two cubes

= 1:27

let the side of cubes be a and A.

atq,

 \large{ \frac{ {a}^{3}}{ {A}^{3} } \: = \: \frac{1}{27} }

\large{ \frac{ {a}^{3}}{ {A}^{3} } \: = \frac{ {1}^{3} }{ {3}^{3} } }

so a = 1

A = 3

ratio of surface area =

 \large{ \frac{ {6a}^{2} }{ {6A }^{2} } \: = \: \frac{ {6(1)}^{2} }{ {6(3)}^{2} } }

 \large{\frac{6}{54} \: = \: \frac{1}{9} }

so the ratio will be be

\huge \boxed {1:9 \: }

HOPE IT HELPS YOU DEAR FRIEND

THANKS
Answered by simran206
4
 <b >HELLO MATE !!!

________________________________

We know that :

VOLUME OF CUBE= (a)^3

Let the edges be A1 and A2

Ratio of the volume :

 = > \frac{A1 {}^{3} }{A2 {}^{3} } = \frac{1}{27} \\ = > \frac{A1}{A2} = \sqrt[3]{ \frac{1}{27} } \\ = > \frac{A1}{A2} = \frac{1}{3}

SURFACE AREA OF CUBE = 6a^2

Now , Ratio of Surface areas :

 \frac{6A1 {}^{2} }{6A2 {}^{2} } = (\frac{1}{3} ) {}^{2} \\ \\ = > \frac{1}{9}

So , The Ratio of surface area is 1:9...

________________________________

HOPE IT HELPS UH ✌✌
Similar questions