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The Total Surface Area of a Cube is 864 Cm2. Its Volume is - Mathematics

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Question

The total surface area of a cube is 864 cm2. Its volume is

Options

  • 3456 cm3

  • 432 cm3

  • 1728 cm3

  • 3456 cm3

MCQ
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Solution

1728 cm3

Let the edge of the cube be a.

Total  surface area of the cube = 6a2 

6a2 =864

a2 = 144

a = 12 cm

Therefore, Volume of the cube = a

= (12 × 12 × 12) cm3 

= 1728 cm

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Chapter 19: Volume and Surface Area of Solids - Multiple Choice Questions [Page 921]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 37 | Page 921
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