1089
10 perfect squares
Two. 36, and 49 are perfect squares.
There are twelve.
There are 27 1x1cm cubes
100
Including 1, there are 21 perfect cubes between one and ten thousand. These are: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261.
There are two.
13 cubes 4,9,16,25,36,46,64,81,100,121,144,169,196
There are infinitely many cubes between any two numbers - no matter how close together they are. However, there may be a more useful answer in terms of "perfect" cubes: 43 = 64 < 100 < 53 = 125 and 83 = 512 < 600 < 93 = 729 So there are 4 perfect cubes in the range - those of 5 6, 7 and 8.
Between the two numbers there are only two.
Infinitely many. However, if you meant perfect cubes between 0 and 150 (both inclusive), there are 6.
99, because 100 squared is 10000 and since it has to be less than 10000, it is 99.
81
There are 2704 of them between 1000 and 10000 inclusive.
There are five of them:5^3 = 1256^3 = 2167^3 = 3438^3 = 5129^3 = 729
Infinitely many. There are a 100 perfect squares.