996 Cubed

996 cubed, (996)³, is the number you get when multiplying 996 times 996 times 996.

It can also be looked at as exponentiation involving the base 996 and the exponent 3.

The term is usually pronounced 3rd power of nine hundred ninety-six or nine hundred ninety-six cubed.

The cube of 996 is a perfect cube because the number is the product of the three equal integers 996.

It can be written as 996 × 996 × 996 or in exponential form.

Read on to learn everything about the number nine hundred ninety-six cubed, including useful identities.

Calculator

Number:

Number Cubed:

Reset

(996)³ = 988,047,936
996 × 996 × 996 = 988,047,936
The inverse operation of cubing 996 is extracting the cube root of 996, explained here.

In the next section we elaborate on the cube 996.

What is 996 Cubed?

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

Hence, a cube with side length 996 has an area of 988,047,936.

The sum and the differences of two cubes, for example with side length 996 and 995, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 996, b = 995 and the equivalence we get:
   (996)³ = 1991 x (996² – 996 × 995 + 995²) – 995³ = 1991 x (992016 – 991020 + 990025) – 985074875 = 1991 x 991021 – 985074875 = 988,047,936
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 996, b = 995 and the equivalence we get:
   (996)³ = (996² + 996 × 995 + 995²) + 995³ = 992016 + 991020 + 990025 + 985074875 = 988,047,936

As follows from (1), 996 cubed can be calculated from 995 cubed and 996 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(996)³ = (2 × 996 – 1) × (996² – 996 + 1) – (995)³ = 1991 × (992016 – 995) – 985074875 = 1991 × 991021 – 985074875 = 988,047,936

Using the second formula 996 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(996)³ = 995³ + 3 × 996² – 3 × 996 + 1 = 985074875 + 3 × 992016 – 3 × 996 + 1 = 985074875 + 2976048 – 2988 + 1 = 988,047,936

If you want to calculate the cube of any number, not only integers like 996, you can use our calculator above.

Just enter your number; nothing else to be done.

A cube similar to 996 is, for example: cube of 998.


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 996.

Table

Nine Hundred Ninety-Six Cubed

You now know everything about the cube 996 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

996 cubed is equivalent to 988,047,936.

If you were searching for what is 996 cubed in math or if you typed whats 996 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube996, and 996 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 996 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

996 cubed = 996 x 996 x 996 = (996)³ = 996 to the 3rd power = 988,047,936.

The exponentiation form is mostly used to denote 996 cube.

If this article about the cube of 996 has helped you then please share it by means of the social buttons.

And should you want to leave a comment related to 996 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 996 cubed.

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