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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