230 Cubed

230 cubed, (230)³, is the number you get when multiplying 230 times 230 times 230.

It can also be looked at as exponentiation involving the base 230 and the exponent 3.

The term is usually pronounced 3rd power of two hundred thirty or two hundred thirty cubed.

The cube of 230 is a perfect cube because the number is the product of the three equal integers 230.

It can be written as 230 × 230 × 230 or in exponential form.

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

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(230)³ = 12,167,000
230 × 230 × 230 = 12,167,000
The inverse operation of cubing 230 is extracting the cube root of 230, explained here.

In the next section we elaborate on the cube 230.

What is 230 Cubed?

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

Hence, a cube with side length 230 has an area of 12,167,000.

The sum and the differences of two cubes, for example with side length 230 and 229, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 230, b = 229 and the equivalence we get:
   (230)³ = 459 x (230² – 230 × 229 + 229²) – 229³ = 459 x (52900 – 52670 + 52441) – 12008989 = 459 x 52671 – 12008989 = 12,167,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 230, b = 229 and the equivalence we get:
   (230)³ = (230² + 230 × 229 + 229²) + 229³ = 52900 + 52670 + 52441 + 12008989 = 12,167,000

As follows from (1), 230 cubed can be calculated from 229 cubed and 230 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(230)³ = (2 × 230 – 1) × (230² – 230 + 1) – (229)³ = 459 × (52900 – 229) – 12008989 = 459 × 52671 – 12008989 = 12,167,000

Using the second formula 230 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(230)³ = 229³ + 3 × 230² – 3 × 230 + 1 = 12008989 + 3 × 52900 – 3 × 230 + 1 = 12008989 + 158700 – 690 + 1 = 12,167,000

If you want to calculate the cube of any number, not only integers like 230, you can use our calculator above.

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A cube similar to 230 is, for example: cube of 232.


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The following table contains the cubes of numbers close to 230.

Table

Two Hundred Thirty Cubed

You now know everything about the cube 230 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

230 cubed is equivalent to 12,167,000.

If you were searching for what is 230 cubed in math or if you typed whats 230 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube230, and 230 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 230 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

230 cubed = 230 x 230 x 230 = (230)³ = 230 to the 3rd power = 12,167,000.

The exponentiation form is mostly used to denote 230 cube.

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