Question

Find the largest four digit number which is a perfect cube.​

Answer 1

Answer:

Largest 4 digit number = 9999

Now, we will just have to take the cube of random numbers logically to find out the nearest and lesser number than 9999.

15³=15×15×15=3375

This is much smaller than the largest 4 digit number.

20³=20×20×20=8000

This is also smaller than the largest 4 digit number.

21³=21×21×21=9261

This is too smaller than the largest 4 digit number.

22³=22×22×22=10648

This is greater than the largest 4 digit number.

So, it is obvious that 21³=9261 is the largest 4-digit number which is a perfect cube.