Math, asked by khyatidagar6, 4 months ago

the total surface area of cube is 216. find the volume of cube .​

Answers

Answered by smarakisamantaray564
1

Answer:

Volume of the cube =216

I hope it's helpful for you

Answered by prabhakardeva657
43

\huge \sf { \fcolorbox{green}{g}{✴Explanation ✴}}

Given :

  • Total surface area of cube = 216

  • Suppose, side of cube = a

Find :

  • Total surface area of cube

Formula used :

  • Surface Area of cube = 6 ( a) ²

  • Volume of cube = ( a ) ³

Solution :

Surface area of cube = 6 ( a ) ²

216 = 6 ( a )²

216 /6 = ( a) ²

36 = ( a ) ²

√ 36 = a

6 = a

Volume of the cube = ( a) ³

= ( 6 ) ³

= 6 × 6 × 6

= 216

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