1, 8, 27, 64, 125
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
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.
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
125,216,343,512
There are a total of 5 positive three-digit perfect cubes that are even. To find this, we first determine the range of three-digit perfect cubes, which is from 46 to 96. Then, we identify the even perfect cubes within this range, which are 64, 216, 512, 729, and 1000.
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
13 cubes 4,9,16,25,36,46,64,81,100,121,144,169,196
The cubic root of 100 is about 4.642, so the first such perfect cube would be 5. The cubic root of a million is 100, so the last such perfect cube would be 100 (or 99, if you don't want to include the endpoints).
Perfect cubes.
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.
56 2,2,2,7 perfect cubes=1,8
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
125,216,343,512
no
26
Perfect cubes between 1 and 1000 are the results of raising integers to the third power. The perfect cubes in this range are: 1 (1³), 8 (2³), 27 (3³), 64 (4³), 125 (5³), 216 (6³), 343 (7³), 512 (8³), and 729 (9³), and 1000 (10³). Thus, the perfect cubes from 1 to 1000 are: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.