90 degree angle/right triangle
13 cubes 4,9,16,25,36,46,64,81,100,121,144,169,196
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.
Perfect cubes.
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.
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
The perfect cubes between 10 and 30 are 27, which is the cube of 3 (3^3). The next perfect cube, 64 (4^3), exceeds 30, while the perfect cubes below 10 are 1 (1^3) and 8 (2^3). Therefore, 27 is the only perfect cube in that range.
26
125,216,343,512
no
The perfect cubes among the first 1000 natural numbers are the cubes of the integers from 1 to 10, since (10^3 = 1000). These integers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Therefore, there are 10 perfect cubes in the first 1000 natural numbers.
100