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We know that:
In general:
Example 7
Find the cube of 6.
Solution:
Cube of a Negative Number
We know that:
From the above, we can infer that:
Example 8
Find the cube of –10.
Solution
Properties of Cubes
Consider the cube of numbers greater than 1.
Clearly, the cubed value is much greater than the number being cubed.
In general:
Consider the cube of fractional numbers, i.e. the numbers which are
between 0 and 1.
Clearly, the cubed value of a fractional number is much less than the number being cubed.
In general:
Key Terms
cube, properties of cubes
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