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Earn +20 ptsQ: How many perfect cubes are there from 1to200?
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How many perfect cubes of integers between 1 and 100 inclusive are odd?
There are two.
How many cubes are between 100 and 600?
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 can a polynomial is said to be sum or difference of two cubes?
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.
What are some perfect cubes from 100 to 200?
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
What are the perfect cubes that are between 100 and 600?
125,216,343,512
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