What makes a number a perfect cube, and the patterns in cube numbers, including 1729.
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What a perfect cube is, as a shape and as a number.
Think of a cube you might see in geometry—a solid figure where all sides meet at right angles and are equal in length. In mathematics, a cubic number represents the volume of such a shape.
How to write cube numbers.
Just like whole numbers, we can cube fractions, decimals, and negative numbers.
Last-digit and zero patterns in cube numbers.
When you studied perfect squares, you learned they can only end in 0, 1, 4, 5, 6, or 9. Is there a similar rule for perfect cubes?
1729, the Hardy–Ramanujan taxicab number.
When mathematician G. H. Hardy visited Srinivasa Ramanujan in a hospital, he remarked that his taxicab number, 1729, was rather “dull”.
Ramanujan instantly replied that it was actually a very interesting number.
It is the smallest number that can be expressed as the sum of two cubes in two different ways. These are now known as Taxicab Numbers.
Groups of odd numbers that add up to cubes.
Perfect cubes have a hidden mathematical relationship with consecutive odd numbers. Let's look at this fascinating pattern of addition.
True or false: test the rules about cubes.
A student claims: "The cube of any odd number must be even." Is this statement true or false?