Question : The cube of 997 is:
Option 1: 991026973
Option 2: 991029673
Option 3: 998746523
Option 4: 99102456
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Correct Answer: 991026973
Solution : Here, (997) 3 = (1000 – 3) 3 = 1000 3 – 3 3 – 3 × 1000 × 3 × (1000 – 3) [Using the formula (a – b) 3 = a 3 – b 3 – 3ab(a – b)] = 1000000000 – 27 – 9000(997) = 991026973 Hence, the correct answer is 991026973.
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Question : If the surface area of a cube is 5046 cm2, then the volume of the cube is:
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