1001
13 cubes 4,9,16,25,36,46,64,81,100,121,144,169,196
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.
125,216,343,512
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
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
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.
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
no
125,216,343,512
81
The perfect cubes between 1 and 25 are the numbers that can be expressed as (n^3) where (n) is a whole number. The perfect cubes in this range are 1 (from (1^3)), 8 (from (2^3)), and 27 (from (3^3)), but since 27 exceeds 25, we only consider 1 and 8. Therefore, the perfect cubes between 1 and 25 are 1 and 8.