Cube of a Number
A number multiplied by itself three times.
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Example
3³ = 27
How it works
Cubing a number means finding the volume of a cube with side length n, because volume is length × width × height and all three sides are equal. That is why the same number is multiplied three times: n × n × n. The result grows faster than the original number because every extra multiplication scales the value again.
When to use it
Use this when you need to calculate powers of 3 in everyday arithmetic, geometry, or science, especially for volumes and scaling. It also appears in formulas for rates or quantities that depend on three equal dimensions.
Worked example, step by step
Find the cube of 4 4^3 = 4 × 4 × 4 4 × 4 = 16 16 × 4 = 64 So, 4^3 = 64
Common mistakes to avoid
- Multiplying by 3 instead of multiplying the number three times
- Writing 3n instead of n^3
- Forgetting that the exponent tells you how many times the base is used as a factor
Did You Know?
The sum of the first n cubes equals the square of the sum of the first n whole numbers — a startlingly neat coincidence.
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