980 Cubed

980 cubed, (980)³, is the number you get when multiplying 980 times 980 times 980.

It can also be looked at as exponentiation involving the base 980 and the exponent 3.

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

The cube of 980 is a perfect cube because the number is the product of the three equal integers 980.

It can be written as 980 × 980 × 980 or in exponential form.

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

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(980)³ = 941,192,000
980 × 980 × 980 = 941,192,000
The inverse operation of cubing 980 is extracting the cube root of 980, explained here.

In the next section we elaborate on the cube 980.

What is 980 Cubed?

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

Hence, a cube with side length 980 has an area of 941,192,000.

The sum and the differences of two cubes, for example with side length 980 and 979, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 980, b = 979 and the equivalence we get:
   (980)³ = 1959 x (980² – 980 × 979 + 979²) – 979³ = 1959 x (960400 – 959420 + 958441) – 938313739 = 1959 x 959421 – 938313739 = 941,192,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 980, b = 979 and the equivalence we get:
   (980)³ = (980² + 980 × 979 + 979²) + 979³ = 960400 + 959420 + 958441 + 938313739 = 941,192,000

As follows from (1), 980 cubed can be calculated from 979 cubed and 980 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(980)³ = (2 × 980 – 1) × (980² – 980 + 1) – (979)³ = 1959 × (960400 – 979) – 938313739 = 1959 × 959421 – 938313739 = 941,192,000

Using the second formula 980 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(980)³ = 979³ + 3 × 980² – 3 × 980 + 1 = 938313739 + 3 × 960400 – 3 × 980 + 1 = 938313739 + 2881200 – 2940 + 1 = 941,192,000

If you want to calculate the cube of any number, not only integers like 980, you can use our calculator above.

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A cube similar to 980 is, for example: cube of 982.


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The following table contains the cubes of numbers close to 980.

Table

Nine Hundred Eighty Cubed

You now know everything about the cube 980 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

980 cubed is equivalent to 941,192,000.

If you were searching for what is 980 cubed in math or if you typed whats 980 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube980, and 980 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 980 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

980 cubed = 980 x 980 x 980 = (980)³ = 980 to the 3rd power = 941,192,000.

The exponentiation form is mostly used to denote 980 cube.

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