516 Cubed

516 cubed, (516)³, is the number you get when multiplying 516 times 516 times 516.

It can also be looked at as exponentiation involving the base 516 and the exponent 3.

The term is usually pronounced 3rd power of five hundred sixteen or five hundred sixteen cubed.

The cube of 516 is a perfect cube because the number is the product of the three equal integers 516.

It can be written as 516 × 516 × 516 or in exponential form.

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

Calculator

Number:

Number Cubed:

Reset

(516)³ = 137,388,096
516 × 516 × 516 = 137,388,096
The inverse operation of cubing 516 is extracting the cube root of 516, explained here.

In the next section we elaborate on the cube 516.

What is 516 Cubed?

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

Hence, a cube with side length 516 has an area of 137,388,096.

The sum and the differences of two cubes, for example with side length 516 and 515, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 516, b = 515 and the equivalence we get:
   (516)³ = 1031 x (516² – 516 × 515 + 515²) – 515³ = 1031 x (266256 – 265740 + 265225) – 136590875 = 1031 x 265741 – 136590875 = 137,388,096
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 516, b = 515 and the equivalence we get:
   (516)³ = (516² + 516 × 515 + 515²) + 515³ = 266256 + 265740 + 265225 + 136590875 = 137,388,096

As follows from (1), 516 cubed can be calculated from 515 cubed and 516 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(516)³ = (2 × 516 – 1) × (516² – 516 + 1) – (515)³ = 1031 × (266256 – 515) – 136590875 = 1031 × 265741 – 136590875 = 137,388,096

Using the second formula 516 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(516)³ = 515³ + 3 × 516² – 3 × 516 + 1 = 136590875 + 3 × 266256 – 3 × 516 + 1 = 136590875 + 798768 – 1548 + 1 = 137,388,096

If you want to calculate the cube of any number, not only integers like 516, you can use our calculator above.

Just enter your number; nothing else to be done.

A cube similar to 516 is, for example: cube of 518.


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 516.

Table

Five Hundred Sixteen Cubed

You now know everything about the cube 516 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

516 cubed is equivalent to 137,388,096.

If you were searching for what is 516 cubed in math or if you typed whats 516 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube516, and 516 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 516 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

516 cubed = 516 x 516 x 516 = (516)³ = 516 to the 3rd power = 137,388,096.

The exponentiation form is mostly used to denote 516 cube.

If this article about the cube of 516 has helped you then please share it by means of the social buttons.

And should you want to leave a comment related to 516 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 516 cubed.

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