Math, asked by meharchand846, 21 days ago

The volume of two Cubs are in the ratio 1:27, find the ratio (3) of their total surface area​

Answers

Answered by XxSonaxX
117

Step-by-step explanation:

Answer:-

Given:-

  • Volume of the cubes is 1:27.

To find:-

  • The ratio of the cubes surface areas.

Solution:-

 \frac{a {}^{3} }{b {}^{3} }   \: = \:   \frac{1}{27}

 (\frac{a}{b} ) {}^{3}   \: = \:  ( \frac{1}{3} ) {}^{3}

 =  >  \:  \frac{a}{b}  \:  =   \: \frac{1}{3}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \ \:  \:  \:  \: -  -  -  -   (1)

Therefore  ,  \: ratio  \: of \:  the  \: surface  \: area 

 \frac{6a {}^{2} }{6b {}^{2} }

  =  \: \frac{a {}^{2} }{b {}^{2} }

 =  \:(  \frac{a}{b} ) {}^{2}

 =  \:  (\frac{1}{3} ) {}^{2}

 =  \:  \frac{1}{9}

, T TIO O T Տ IՏ  \frac{1}{9}

Answered by Anonymous
1

Answer:

above answer was correct..

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