123 Cubed

123 cubed, (123)³, is the number you get when multiplying 123 times 123 times 123.

It can also be looked at as exponentiation involving the base 123 and the exponent 3.

The term is usually pronounced 3rd power of one hundred twenty-three or one hundred twenty-three cubed.

The cube of 123 is a perfect cube because the number is the product of the three equal integers 123.

It can be written as 123 × 123 × 123 or in exponential form.

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

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(123)³ = 1,860,867
123 × 123 × 123 = 1,860,867
The inverse operation of cubing 123 is extracting the cube root of 123, explained here.

In the next section we elaborate on the cube 123.

What is 123 Cubed?

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

Hence, a cube with side length 123 has an area of 1,860,867.

The sum and the differences of two cubes, for example with side length 123 and 122, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 123, b = 122 and the equivalence we get:
   (123)³ = 245 x (123² – 123 × 122 + 122²) – 122³ = 245 x (15129 – 15006 + 14884) – 1815848 = 245 x 15007 – 1815848 = 1,860,867
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 123, b = 122 and the equivalence we get:
   (123)³ = (123² + 123 × 122 + 122²) + 122³ = 15129 + 15006 + 14884 + 1815848 = 1,860,867

As follows from (1), 123 cubed can be calculated from 122 cubed and 123 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(123)³ = (2 × 123 – 1) × (123² – 123 + 1) – (122)³ = 245 × (15129 – 122) – 1815848 = 245 × 15007 – 1815848 = 1,860,867

Using the second formula 123 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(123)³ = 122³ + 3 × 123² – 3 × 123 + 1 = 1815848 + 3 × 15129 – 3 × 123 + 1 = 1815848 + 45387 – 369 + 1 = 1,860,867

If you want to calculate the cube of any number, not only integers like 123, you can use our calculator above.

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A cube similar to 123 is, for example: cube of 125.


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The following table contains the cubes of numbers close to 123.

Table

One Hundred Twenty-Three Cubed

You now know everything about the cube 123 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

123 cubed is equivalent to 1,860,867.

If you were searching for what is 123 cubed in math or if you typed whats 123 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube123, and 123 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 123 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

123 cubed = 123 x 123 x 123 = (123)³ = 123 to the 3rd power = 1,860,867.

The exponentiation form is mostly used to denote 123 cube.

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