480 Cubed

480 cubed, (480)³, is the number you get when multiplying 480 times 480 times 480.

It can also be looked at as exponentiation involving the base 480 and the exponent 3.

The term is usually pronounced 3rd power of four hundred eighty or four hundred eighty cubed.

The cube of 480 is a perfect cube because the number is the product of the three equal integers 480.

It can be written as 480 × 480 × 480 or in exponential form.

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

Calculator

Number:

Number Cubed:

Reset

(480)³ = 110,592,000
480 × 480 × 480 = 110,592,000
The inverse operation of cubing 480 is extracting the cube root of 480, explained here.

In the next section we elaborate on the cube 480.

What is 480 Cubed?

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

Hence, a cube with side length 480 has an area of 110,592,000.

The sum and the differences of two cubes, for example with side length 480 and 479, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 480, b = 479 and the equivalence we get:
   (480)³ = 959 x (480² – 480 × 479 + 479²) – 479³ = 959 x (230400 – 229920 + 229441) – 109902239 = 959 x 229921 – 109902239 = 110,592,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 480, b = 479 and the equivalence we get:
   (480)³ = (480² + 480 × 479 + 479²) + 479³ = 230400 + 229920 + 229441 + 109902239 = 110,592,000

As follows from (1), 480 cubed can be calculated from 479 cubed and 480 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(480)³ = (2 × 480 – 1) × (480² – 480 + 1) – (479)³ = 959 × (230400 – 479) – 109902239 = 959 × 229921 – 109902239 = 110,592,000

Using the second formula 480 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(480)³ = 479³ + 3 × 480² – 3 × 480 + 1 = 109902239 + 3 × 230400 – 3 × 480 + 1 = 109902239 + 691200 – 1440 + 1 = 110,592,000

If you want to calculate the cube of any number, not only integers like 480, you can use our calculator above.

Just enter your number; nothing else to be done.

A cube similar to 480 is, for example: cube of 482.


If something remains unclear do not hesitate getting in touch with us.

We are constantly trying to improve our site, and truly appreciate your feedback.

The following table contains the cubes of numbers close to 480.

Table

Four Hundred Eighty Cubed

You now know everything about the cube 480 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

480 cubed is equivalent to 110,592,000.

If you were searching for what is 480 cubed in math or if you typed whats 480 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube480, and 480 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 480 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

480 cubed = 480 x 480 x 480 = (480)³ = 480 to the 3rd power = 110,592,000.

The exponentiation form is mostly used to denote 480 cube.

If this article about the cube of 480 has helped you then please share it by means of the social buttons.

And should you want to leave a comment related to 480 cubed use the form below.

Last, but no least: Don’t forget to install our free PWA app (see menu or sidebar)!

Websites which are related to this one can be found in the “recommended sites” section in the sidebar.

Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.

And come back soon!

Thanks for visiting 480 cubed.

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