Cube Calculator x3 - Calculate x Cubed Online

What is a Cube of a Number?

The cube of a number is the result of multiplying the number by itself three times. It is written as $$x^3$$ and pronounced as "x cubed" or "x to the third power." The formula is simple: $$x^3 = x \times x \times x$$.

For example, $$4^3 = 4 \times 4 \times 4 = 64$$. This means that 4 cubed equals 64. Cubing a number is a fundamental operation in mathematics, used in geometry (volume of a cube), physics, engineering, and many other fields.

How to Use the Cube Calculator

Enter any real number into the calculator. The tool instantly computes the cube using the formula $$x^3 = x \times x \times x$$. It shows the step-by-step multiplication process, making it easy to understand how the result is derived. The calculator supports positive numbers, negative numbers, decimals, and scientific notation.

$$x^3 = x \times x \times x$$

Perfect Cubes

A perfect cube results when you cube an integer (a whole number without decimals or fractions). For example, $$3^3 = 27$$, so 27 is a perfect cube. Perfect cubes have the property that their cube root is an integer.

n	n³	Perfect Cube
0	0	0 × 0 × 0
1	1	1 × 1 × 1
2	8	2 × 2 × 2
3	27	3 × 3 × 3
4	64	4 × 4 × 4
5	125	5 × 5 × 5
6	216	6 × 6 × 6
7	343	7 × 7 × 7
8	512	8 × 8 × 8
9	729	9 × 9 × 9
10	1000	10 × 10 × 10

Cubing Negative Numbers

When you cube a negative number, the result is always negative. This is because multiplying an odd number of negatives results in a negative number. For example:

$$(-2)^3 = (-2) \times (-2) \times (-2) = -8$$
$$(-5)^3 = (-5) \times (-5) \times (-5) = -125$$

Be careful with parentheses when using the calculator. $$-2^3$$ means the negative of $$2^3$$, which equals -8, just like $$(-2)^3$$. This is because the exponent applies before the negation.

Applications of Cubes

Volume: The volume of a cube with side length s is $$V = s^3$$.
Physics: Cubic relationships appear in inverse-square law calculations, fluid dynamics, and density calculations.
Engineering: Material strength calculations often involve cubic relationships.
Data Storage: Memory sizes are often measured in cubic capacities (KB, MB, GB).
Computer Graphics: 3D rendering uses cubic Bezier curves and volumetric calculations.

For more geometry and math tools, try the Cube Shape Calculator, Volume Calculator, Surface Area Calculator, and Rectangular Prism Calculator.

Frequently Asked Questions

What does x cubed mean?

X cubed (written as $$x^3$$) means x multiplied by itself three times: $$x \times x \times x$$. The exponent 3 indicates that the base number should be used as a factor three times.

What is a perfect cube?

A perfect cube is the result of cubing an integer. For example, 8 is a perfect cube because $$2^3 = 8$$. Other examples include 1, 27, 64, 125, 216, 343, 512, 729, and 1000.

What is 3 cubed?

3 cubed (written as $$3^3$$) equals 27. This is calculated as $$3 \times 3 \times 3 = 27$$. Since 3 is an integer, 27 is a perfect cube.

Is a negative number cubed still negative?

Yes, when you cube a negative number, the result is always negative. For example, $$(-3)^3 = -27$$. This is because an odd number of negative multiplications yields a negative result.

What is the difference between square and cube?

A square ($$x^2$$) multiplies a number by itself once: $$x \times x$$. A cube ($$x^3$$) multiplies a number by itself twice: $$x \times x \times x$$. A square of a negative number is always positive, while a cube of a negative number is always negative.

Report

Cube Calculator