how to find no of perfect cube between two no like 1000-2000

Dear student, In these type of questions just start from the number whose cube is greater than or equal to 1000 . 1000 is a perfect cube - the cube of 10. To get additional cubes, just calculate the cubes of 11, 12, etc., Cube of 12 is 1728 and cube of 13 is 2197. The cube of 13 is greater than 2000 .So the number of cubes between 1000 to 2000 are 2 including 1000 the cube if 10 and the cube of 12 . Regards

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