Four
Explanation
A perfect cube is an integer for which there exists an integer, n, such that n3 equals that number. It is easy to see that n3 is a strictly increasing number for positive n (which simply means that as n gets bigger, n3 gets bigger).
13=1
23=8
33=27
43=64
These are the only perfect cubes between 1 and 80. The next perfect cube is 125 (=53) and all other positive perfect cubes are larger than this.
100
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.
56 2,2,2,7 perfect cubes=1,8
26
Between the two numbers there are only two.
13 cubes 4,9,16,25,36,46,64,81,100,121,144,169,196
1, 8, 27, 64, 125 are the only cubes under 180. 1 is the only factor.
100
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.
There are two.
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.
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.
26
no