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979 Cubed

979 cubed, (979)3, is the number you get when multiplying 979 times 979 times 979.

It can also be looked at as exponentiation involving the base 979 and the exponent 3.

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

The cube of 979 is a perfect cube because the number is the product of the three equal integers 979.

It can be written as 979 × 979 × 979 or in exponential form.

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

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(979)3 = 938,313,739
979 × 979 × 979 = 938,313,739

The inverse operation of cubing 979 is extracting the cube root of 979, explained here.

In the next section we elaborate on the cube 979.

What is 979 Cubed?

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

Hence, a cube with side length 979 has an area of 938,313,739.

The sum and the differences of two cubes, for example with side length 979 and 978, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 979, b = 978 and the equivalence we get:
    (979)3 = 1957 x (9792 – 979 × 978 + 9782) – 9783 = 1957 x (958441 – 957462 + 956484) – 935441352 = 1957 x 957463 – 935441352 = 938,313,739
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 979, b = 978 and the equivalence we get:
    (979)3 = (9792 + 979 × 978 + 9782) + 9783 = 958441 + 957462 + 956484 + 935441352 = 938,313,739

As follows from (1), 979 cubed can be calculated from 978 cubed and 979 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(979)3 = (2 × 979 – 1) × (9792 – 979 + 1) – (978)3 = 1957 × (958441 – 978) – 935441352 = 1957 × 957463 – 935441352 = 938,313,739

Using the second formula 979 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(979)3 = 9783 + 3 × 9792 – 3 × 979 + 1 = 935441352 + 3 × 958441 – 3 × 979 + 1 = 935441352 + 2875323 – 2937 + 1 = 938,313,739

If you want to calculate the cube of any number, not only integers like 979, you can use our calculator above.

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A cube similar to 979 is, for example: cube of 981.


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The following table contains the cubes of numbers close to 979.

Table

NumberCube
974924,010,424
975926,859,375
976929,714,176
977932,574,833
978935,441,352
979938,313,739
980941,192,000
981944,076,141
982946,966,168
983949,862,087
984952,763,904

Nine Hundred Seventy-Nine Cubed

You now know everything about the cube 979 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

979 cubed is equivalent to 938,313,739.

If you were searching for what is 979 cubed in math or if you typed whats 979 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube979, and 979 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 979 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

979 cubed = 979 x 979 x 979 = (979)3 = 979 to the 3rd power = 938,313,739.

The exponentiation form is mostly used to denote 979 cube.

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