The total surface area of a cube is 384 cm2, then its volume is

  1.  521 cm³
  2. 512 cm³
  3. 412 cm³
  4. 421 cm³
Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (B) 512 cm^3 

    Solution:-
    Total surface area of a cube = 384 cm^2 

    Formula-
    The surface area of a cube = 6 a^2 

    Where, a =  side of a cube. 

    Then, 6 a^2 = 384
      a ^2  =384/6
     a^2 = 64
    Square root on both side, 
    a = 8 

    Formula-
    Volume of the cube = a^3
    Where, a =  side of a cube. 

    Side of the cube is 8 cm. 
    Then, the volume of the cube = 8^3
     = 8 x 8 x 8 
     = 512 cm^3.

    Hence, the correct answer is option (B) 512 cm^3.

    Anurag Mishra Professor Answered on 1st March 2016.
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