Question 300219
1,8,27,64,__, __, __,__, __,1000

 8 = 2 * 2 * 2
 27 = 3 * 3* 3
 64 = 4 * 4 *4 

so the next number would be 5 * 5 * 5 = 125

and so now so the series would be

1,8,27,64,125,216,343,512,729,1000