983 Cubed

983 cubed, (983)³, is the number you get when multiplying 983 times 983 times 983.

It can also be looked at as exponentiation involving the base 983 and the exponent 3.

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

The cube of 983 is a perfect cube because the number is the product of the three equal integers 983.

It can be written as 983 × 983 × 983 or in exponential form.

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

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(983)³ = 949,862,087
983 × 983 × 983 = 949,862,087
The inverse operation of cubing 983 is extracting the cube root of 983, explained here.

In the next section we elaborate on the cube 983.

What is 983 Cubed?

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

Hence, a cube with side length 983 has an area of 949,862,087.

The sum and the differences of two cubes, for example with side length 983 and 982, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 983, b = 982 and the equivalence we get:
   (983)³ = 1965 x (983² – 983 × 982 + 982²) – 982³ = 1965 x (966289 – 965306 + 964324) – 946966168 = 1965 x 965307 – 946966168 = 949,862,087
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 983, b = 982 and the equivalence we get:
   (983)³ = (983² + 983 × 982 + 982²) + 982³ = 966289 + 965306 + 964324 + 946966168 = 949,862,087

As follows from (1), 983 cubed can be calculated from 982 cubed and 983 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(983)³ = (2 × 983 – 1) × (983² – 983 + 1) – (982)³ = 1965 × (966289 – 982) – 946966168 = 1965 × 965307 – 946966168 = 949,862,087

Using the second formula 983 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(983)³ = 982³ + 3 × 983² – 3 × 983 + 1 = 946966168 + 3 × 966289 – 3 × 983 + 1 = 946966168 + 2898867 – 2949 + 1 = 949,862,087

If you want to calculate the cube of any number, not only integers like 983, you can use our calculator above.

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A cube similar to 983 is, for example: cube of 985.


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The following table contains the cubes of numbers close to 983.

Table

Nine Hundred Eighty-Three Cubed

You now know everything about the cube 983 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

983 cubed is equivalent to 949,862,087.

If you were searching for what is 983 cubed in math or if you typed whats 983 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube983, and 983 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 983 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

983 cubed = 983 x 983 x 983 = (983)³ = 983 to the 3rd power = 949,862,087.

The exponentiation form is mostly used to denote 983 cube.

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