What are three numbers less than 1000 that are perfect squares and perfect cubes?

729, cube of 9 and square of 27

All integers have a perfect square and a perfect cube. For example:-22 = 4, -23 = -8,-12 = 1, -13 = -1, 02 = 0, 03 = 0,12 = 1, 13 = 1,22 = 4, 23 = 8,32 = 9, 33 = 27,etc.

64 is the square of 8 and the cube of 4.

729

4,096 = (64)2 = (16)3