455 Cubed

455 cubed, (455)³, is the number you get when multiplying 455 times 455 times 455.

It can also be looked at as exponentiation involving the base 455 and the exponent 3.

The term is usually pronounced 3rd power of four hundred fifty-five or four hundred fifty-five cubed.

The cube of 455 is a perfect cube because the number is the product of the three equal integers 455.

It can be written as 455 × 455 × 455 or in exponential form.

Read on to learn everything about the number four hundred fifty-five cubed, including useful identities.

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(455)³ = 94,196,375
455 × 455 × 455 = 94,196,375
The inverse operation of cubing 455 is extracting the cube root of 455, explained here.

In the next section we elaborate on the cube 455.

What is 455 Cubed?

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

Hence, a cube with side length 455 has an area of 94,196,375.

The sum and the differences of two cubes, for example with side length 455 and 454, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 455, b = 454 and the equivalence we get:
   (455)³ = 909 x (455² – 455 × 454 + 454²) – 454³ = 909 x (207025 – 206570 + 206116) – 93576664 = 909 x 206571 – 93576664 = 94,196,375
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 455, b = 454 and the equivalence we get:
   (455)³ = (455² + 455 × 454 + 454²) + 454³ = 207025 + 206570 + 206116 + 93576664 = 94,196,375

As follows from (1), 455 cubed can be calculated from 454 cubed and 455 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(455)³ = (2 × 455 – 1) × (455² – 455 + 1) – (454)³ = 909 × (207025 – 454) – 93576664 = 909 × 206571 – 93576664 = 94,196,375

Using the second formula 455 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(455)³ = 454³ + 3 × 455² – 3 × 455 + 1 = 93576664 + 3 × 207025 – 3 × 455 + 1 = 93576664 + 621075 – 1365 + 1 = 94,196,375

If you want to calculate the cube of any number, not only integers like 455, you can use our calculator above.

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A cube similar to 455 is, for example: cube of 457.


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The following table contains the cubes of numbers close to 455.

Table

Four Hundred Fifty-Five Cubed

You now know everything about the cube 455 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

455 cubed is equivalent to 94,196,375.

If you were searching for what is 455 cubed in math or if you typed whats 455 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube455, and 455 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 455 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

455 cubed = 455 x 455 x 455 = (455)³ = 455 to the 3rd power = 94,196,375.

The exponentiation form is mostly used to denote 455 cube.

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