What is the volume of a cube whose surface area is 96 ?
A
50
B
64
C
72
D
86
Correct Answer: 64
Let, x be the side of the cube.Then <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo> = </mo><mn>96</mn><mo>⇒</mo><msup><mi>x</mi><mn>2</mn></msup><mo> = </mo><mn>16</mn><mo>⇒</mo><mi>x</mi><mo> = </mo><mn>4</mn></math>hence the volume is = <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo> = </mo><msup><mn>4</mn><mn>3</mn></msup></math> = 64