Largest four digit number which is a perfect cube

Asked by admin @ 20/08/2021 in Math viewed by 408 People

Find the largest 4 digit number which is a perfect cube

Answered by admin @ 20/08/2021

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.

Answer.

Largest four digit number which is a perfect cube

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