208 Cubed

208 cubed, (208)³, is the number you get when multiplying 208 times 208 times 208.

It can also be looked at as exponentiation involving the base 208 and the exponent 3.

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

The cube of 208 is a perfect cube because the number is the product of the three equal integers 208.

It can be written as 208 × 208 × 208 or in exponential form.

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

Calculator

Number:

Number Cubed:

Reset

(208)³ = 8,998,912
208 × 208 × 208 = 8,998,912
The inverse operation of cubing 208 is extracting the cube root of 208, explained here.

In the next section we elaborate on the cube 208.

What is 208 Cubed?

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

Hence, a cube with side length 208 has an area of 8,998,912.

The sum and the differences of two cubes, for example with side length 208 and 207, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 208, b = 207 and the equivalence we get:
   (208)³ = 415 x (208² – 208 × 207 + 207²) – 207³ = 415 x (43264 – 43056 + 42849) – 8869743 = 415 x 43057 – 8869743 = 8,998,912
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 208, b = 207 and the equivalence we get:
   (208)³ = (208² + 208 × 207 + 207²) + 207³ = 43264 + 43056 + 42849 + 8869743 = 8,998,912

As follows from (1), 208 cubed can be calculated from 207 cubed and 208 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(208)³ = (2 × 208 – 1) × (208² – 208 + 1) – (207)³ = 415 × (43264 – 207) – 8869743 = 415 × 43057 – 8869743 = 8,998,912

Using the second formula 208 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(208)³ = 207³ + 3 × 208² – 3 × 208 + 1 = 8869743 + 3 × 43264 – 3 × 208 + 1 = 8869743 + 129792 – 624 + 1 = 8,998,912

If you want to calculate the cube of any number, not only integers like 208, you can use our calculator above.

Just enter your number; nothing else to be done.

A cube similar to 208 is, for example: cube of 210.


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 208.

Table

Two Hundred Eight Cubed

You now know everything about the cube 208 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

208 cubed is equivalent to 8,998,912.

If you were searching for what is 208 cubed in math or if you typed whats 208 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube208, and 208 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 208 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

208 cubed = 208 x 208 x 208 = (208)³ = 208 to the 3rd power = 8,998,912.

The exponentiation form is mostly used to denote 208 cube.

If this article about the cube of 208 has helped you then please share it by means of the social buttons.

And should you want to leave a comment related to 208 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 208 cubed.

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