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Q.

What is the volume of a cube, whose surface area is 216  m 2   ?


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a

216m3

b

217m3

c

316m3

d

317m3 

answer is A.

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Detailed Solution

The given surface area of a cube is 216  m 2  .
Let the side of a cube be x units.
We know that, Surface area = 6x 2  unit and volume = x 3   units.
By the given condition,
⇒6 x 2 = 216 ⇒ x 2  = 36 ⇒x=6  
The volume of the cube is,
⇒63
⇒216m3
Hence volume of the cube is 216m3.
Therefore, option 1 is correct.
 
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