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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
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 = a3
= (12 × 12 × 12) cm3
= 1728 cm3
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