227 Cubed

227 cubed, (227)³, is the number you get when multiplying 227 times 227 times 227.

It can also be looked at as exponentiation involving the base 227 and the exponent 3.

The term is usually pronounced 3rd power of two hundred twenty-seven or two hundred twenty-seven cubed.

The cube of 227 is a perfect cube because the number is the product of the three equal integers 227.

It can be written as 227 × 227 × 227 or in exponential form.

Read on to learn everything about the number two hundred twenty-seven cubed, including useful identities.

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(227)³ = 11,697,083
227 × 227 × 227 = 11,697,083
The inverse operation of cubing 227 is extracting the cube root of 227, explained here.

In the next section we elaborate on the cube 227.

What is 227 Cubed?

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

Hence, a cube with side length 227 has an area of 11,697,083.

The sum and the differences of two cubes, for example with side length 227 and 226, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 227, b = 226 and the equivalence we get:
   (227)³ = 453 x (227² – 227 × 226 + 226²) – 226³ = 453 x (51529 – 51302 + 51076) – 11543176 = 453 x 51303 – 11543176 = 11,697,083
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 227, b = 226 and the equivalence we get:
   (227)³ = (227² + 227 × 226 + 226²) + 226³ = 51529 + 51302 + 51076 + 11543176 = 11,697,083

As follows from (1), 227 cubed can be calculated from 226 cubed and 227 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(227)³ = (2 × 227 – 1) × (227² – 227 + 1) – (226)³ = 453 × (51529 – 226) – 11543176 = 453 × 51303 – 11543176 = 11,697,083

Using the second formula 227 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(227)³ = 226³ + 3 × 227² – 3 × 227 + 1 = 11543176 + 3 × 51529 – 3 × 227 + 1 = 11543176 + 154587 – 681 + 1 = 11,697,083

If you want to calculate the cube of any number, not only integers like 227, you can use our calculator above.

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A cube similar to 227 is, for example: cube of 229.


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The following table contains the cubes of numbers close to 227.

Table

Two Hundred Twenty-Seven Cubed

You now know everything about the cube 227 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

227 cubed is equivalent to 11,697,083.

If you were searching for what is 227 cubed in math or if you typed whats 227 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube227, and 227 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 227 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

227 cubed = 227 x 227 x 227 = (227)³ = 227 to the 3rd power = 11,697,083.

The exponentiation form is mostly used to denote 227 cube.

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