Cube Calculator
Calculate the cube (x³) of any number. This calculator supports integers, decimals, and scientific notation, showing the step-by-step multiplication process.
Result: x³
125
5³ = 125
What is a Cube?
The cube of a number is that number multiplied by itself three times. It's also known as "raising to the third power" or "x cubed". For example, 2³ = 2 × 2 × 2 = 8.
x³ = x × x × x
2³ = 2 × 2 × 2 = 8
(-3)³ = -3 × -3 × -3 = -27
Example Calculations
Basic Examples
Positive Numbers
- 2³ = 2 × 2 × 2 = 8
- 5³ = 5 × 5 × 5 = 125
- 10³ = 10 × 10 × 10 = 1,000
Negative Numbers
- (-2)³ = -2 × -2 × -2 = -8
- (-5)³ = -5 × -5 × -5 = -125
- (-10)³ = -10 × -10 × -10 = -1,000
Real-World Applications
Volume Calculations
Calculate the volume of a cube with side length 3 units:
Volume = side³
For a cube with side length 3:
Volume = 3³ = 27 cubic units
Scientific Notation
Calculate cubes of very large or small numbers:
1.2e3 = 1,200
Cube of 1.2e3:
(1.2e3)³ = 1.728e9
Properties of Cubes
- The cube of a positive number is positive
- The cube of a negative number is negative
- The cube of 0 is 0
- Perfect cubes have exactly one real cube root
- The cube function is strictly increasing