1; 8; 27; 64; 125; 216; 343; 512; 729; 1,000; 1,331; 1,728; 2,197; 2,744; 3,375; 4,099; 4,913; 5,832; 6,859; 8,000; 9,261; 10,648; 12,167; 13,824; 15,625; 17,576; 19,683; 21,953; 24,389; 27,000
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8 and 27 are the only two perfect cubes in the range.
30
The list of cubes for integers 1 to 40 are:18276412521634351272910001331172821972744337540964913583268598000926110648121671382415625175761968321952243892700029791327683593739304428754665650653548725931964000
In the list of cubes, the next number is 216.
The sample space is the 6 cubes.