882 Cubed

882 cubed, (882)³, is the number you get when multiplying 882 times 882 times 882.

It can also be looked at as exponentiation involving the base 882 and the exponent 3.

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

The cube of 882 is a perfect cube because the number is the product of the three equal integers 882.

It can be written as 882 × 882 × 882 or in exponential form.

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

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(882)³ = 686,128,968
882 × 882 × 882 = 686,128,968
The inverse operation of cubing 882 is extracting the cube root of 882, explained here.

In the next section we elaborate on the cube 882.

What is 882 Cubed?

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

Hence, a cube with side length 882 has an area of 686,128,968.

The sum and the differences of two cubes, for example with side length 882 and 881, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 882, b = 881 and the equivalence we get:
   (882)³ = 1763 x (882² – 882 × 881 + 881²) – 881³ = 1763 x (777924 – 777042 + 776161) – 683797841 = 1763 x 777043 – 683797841 = 686,128,968
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 882, b = 881 and the equivalence we get:
   (882)³ = (882² + 882 × 881 + 881²) + 881³ = 777924 + 777042 + 776161 + 683797841 = 686,128,968

As follows from (1), 882 cubed can be calculated from 881 cubed and 882 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(882)³ = (2 × 882 – 1) × (882² – 882 + 1) – (881)³ = 1763 × (777924 – 881) – 683797841 = 1763 × 777043 – 683797841 = 686,128,968

Using the second formula 882 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(882)³ = 881³ + 3 × 882² – 3 × 882 + 1 = 683797841 + 3 × 777924 – 3 × 882 + 1 = 683797841 + 2333772 – 2646 + 1 = 686,128,968

If you want to calculate the cube of any number, not only integers like 882, you can use our calculator above.

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A cube similar to 882 is, for example: cube of 884.


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The following table contains the cubes of numbers close to 882.

Table

Eight Hundred Eighty-Two Cubed

You now know everything about the cube 882 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

882 cubed is equivalent to 686,128,968.

If you were searching for what is 882 cubed in math or if you typed whats 882 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube882, and 882 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 882 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

882 cubed = 882 x 882 x 882 = (882)³ = 882 to the 3rd power = 686,128,968.

The exponentiation form is mostly used to denote 882 cube.

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