982 Cubed

982 cubed, (982)³, is the number you get when multiplying 982 times 982 times 982.

It can also be looked at as exponentiation involving the base 982 and the exponent 3.

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

The cube of 982 is a perfect cube because the number is the product of the three equal integers 982.

It can be written as 982 × 982 × 982 or in exponential form.

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

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(982)³ = 946,966,168
982 × 982 × 982 = 946,966,168
The inverse operation of cubing 982 is extracting the cube root of 982, explained here.

In the next section we elaborate on the cube 982.

What is 982 Cubed?

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

Hence, a cube with side length 982 has an area of 946,966,168.

The sum and the differences of two cubes, for example with side length 982 and 981, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 982, b = 981 and the equivalence we get:
   (982)³ = 1963 x (982² – 982 × 981 + 981²) – 981³ = 1963 x (964324 – 963342 + 962361) – 944076141 = 1963 x 963343 – 944076141 = 946,966,168
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 982, b = 981 and the equivalence we get:
   (982)³ = (982² + 982 × 981 + 981²) + 981³ = 964324 + 963342 + 962361 + 944076141 = 946,966,168

As follows from (1), 982 cubed can be calculated from 981 cubed and 982 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(982)³ = (2 × 982 – 1) × (982² – 982 + 1) – (981)³ = 1963 × (964324 – 981) – 944076141 = 1963 × 963343 – 944076141 = 946,966,168

Using the second formula 982 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(982)³ = 981³ + 3 × 982² – 3 × 982 + 1 = 944076141 + 3 × 964324 – 3 × 982 + 1 = 944076141 + 2892972 – 2946 + 1 = 946,966,168

If you want to calculate the cube of any number, not only integers like 982, you can use our calculator above.

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A cube similar to 982 is, for example: cube of 984.


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The following table contains the cubes of numbers close to 982.

Table

Nine Hundred Eighty-Two Cubed

You now know everything about the cube 982 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

982 cubed is equivalent to 946,966,168.

If you were searching for what is 982 cubed in math or if you typed whats 982 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube982, and 982 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 982 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

982 cubed = 982 x 982 x 982 = (982)³ = 982 to the 3rd power = 946,966,168.

The exponentiation form is mostly used to denote 982 cube.

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