666 Cubed

666 cubed, (666)³, is the number you get when multiplying 666 times 666 times 666.

It can also be looked at as exponentiation involving the base 666 and the exponent 3.

The term is usually pronounced 3rd power of six hundred sixty-six or six hundred sixty-six cubed.

The cube of 666 is a perfect cube because the number is the product of the three equal integers 666.

It can be written as 666 × 666 × 666 or in exponential form.

Read on to learn everything about the number six hundred sixty-six cubed, including useful identities.

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(666)³ = 295,408,296
666 × 666 × 666 = 295,408,296
The inverse operation of cubing 666 is extracting the cube root of 666, explained here.

In the next section we elaborate on the cube 666.

What is 666 Cubed?

A cube is a three-dimensional shape with 6 equal square faces.

Hence, a cube with side length 666 has an area of 295,408,296.

The sum and the differences of two cubes, for example with side length 666 and 665, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 666, b = 665 and the equivalence we get:
   (666)³ = 1331 x (666² – 666 × 665 + 665²) – 665³ = 1331 x (443556 – 442890 + 442225) – 294079625 = 1331 x 442891 – 294079625 = 295,408,296
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 666, b = 665 and the equivalence we get:
   (666)³ = (666² + 666 × 665 + 665²) + 665³ = 443556 + 442890 + 442225 + 294079625 = 295,408,296

As follows from (1), 666 cubed can be calculated from 665 cubed and 666 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(666)³ = (2 × 666 – 1) × (666² – 666 + 1) – (665)³ = 1331 × (443556 – 665) – 294079625 = 1331 × 442891 – 294079625 = 295,408,296

Using the second formula 666 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(666)³ = 665³ + 3 × 666² – 3 × 666 + 1 = 294079625 + 3 × 443556 – 3 × 666 + 1 = 294079625 + 1330668 – 1998 + 1 = 295,408,296

If you want to calculate the cube of any number, not only integers like 666, you can use our calculator above.

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A cube similar to 666 is, for example: cube of 668.


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The following table contains the cubes of numbers close to 666.

Table

Six Hundred Sixty-Six Cubed

You now know everything about the cube 666 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

666 cubed is equivalent to 295,408,296.

If you were searching for what is 666 cubed in math or if you typed whats 666 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube666, and 666 to the 3rd power, just to name a few more examples people are often looking for.

Note that you can also find many perfect cubes including 666 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

666 cubed = 666 x 666 x 666 = (666)³ = 666 to the 3rd power = 295,408,296.

The exponentiation form is mostly used to denote 666 cube.

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– Article written by Mark, last updated on November 26th, 2023