Math, asked by amruthaamu41, 5 hours ago

if the C.S.A of cube is 64m².then cube is​

Answers

Answered by SavageBlast
99

Correct question:-

  • If the C.S.A of cube is 64m². Then edge of cube is_____.

Given:-

  • Curved surface area = 64 m²

To Find:-

  • Edge (a) of the Cube

Formula used:-

  • CSA of Cube = 4a²

Solution:-

CSA\: of\: Cube\: = 4a²

⟹64 = 4a²

⟹a² = \dfrac{64}{4}

⟹a² = 16

⟹a= \sqrt{16}

{\boxed{⟹a= 4cm}}

Hence, The edge of the given Cube is 4 cm.

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Answered by XxLatexQueenxX
3

RIGHT QUESTION :-

   \large\bold\pink{IF  \: THE \:  C.S.A \:  OF  \: CUBE \:  IS  \: 64 m^2 \: SO~WHAT~IS~THE~EDGE~OF~CUBE}

GIVEN :-

 \large \bold \pink{ CURVED~SURFACE~AREA=64m {}^{2} }

TO FIND :-

 \large \bold \pink{EDGE ~OF ~CUBE  }

FORMULA WILL USE :-

 \large \bold \pink{C.S.A  \: OF \:  CUBE = 4 a^2} \:

SOLUTION :-

 \bold \orange{C.S.A \:  OF  \: CUBE = 4a^2}

 \:  \:  \:  \:  \:  \bold \red\rightsquigarrow \bold \red{64 = 4a {}^{2} }

 \:  \:  \:  \:  \:   \bold \red\rightsquigarrow \bold \red{a {}^{2}  =  \frac{64}{4} }

 \:  \:  \:  \:  \:  \bold \red\rightsquigarrow \bold \red{a {}^{2} = 16 }

 \:  \:  \:  \:  \:  \bold \red\rightsquigarrow \bold \red{a =  \sqrt{16} }

 \:  \:  \:  \:  \:  \bold \orange\rightsquigarrow \bold \orange{a = 4 \: cm}

HENCE THE EDGE IS 4 CM :)

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