find the greatest 4 digit no. which is a perfect cube
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Answer:
Solution :-
The largest 4 digit number is 9999. But 9999 is not a perfect cube.
The largest 4 digit perfect cube number can be obtained by cubing some natural numbers at random.
⇒ 10*10*10 = 1000 - which is very much less than the largest 4 digit number, which is 9999.
⇒ 15*15*15 = 3375 - It is also very much less than the largest 4 digit number, which is 9999.
⇒ 20*20*20 = 8000 - It is also less than the largest 4 digit number, which is 9999.
⇒ 21*21*21 = 9261 - It is also less than the largest 4 digit number, which is 9999.
⇒ 22*22*22 = 10648 - It is greater than the largest 4 digit number, which is 9999.
So, we can conclude that 9261 is the largest 4 digit perfect cube number, which is the cube of 21.
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answer is 21..