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984 Cubed

984 cubed, (984)3, is the number you get when multiplying 984 times 984 times 984.

It can also be looked at as exponentiation involving the base 984 and the exponent 3.

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

The cube of 984 is a perfect cube because the number is the product of the three equal integers 984.

It can be written as 984 × 984 × 984 or in exponential form.

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

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(984)3 = 952,763,904
984 × 984 × 984 = 952,763,904

The inverse operation of cubing 984 is extracting the cube root of 984, explained here.

In the next section we elaborate on the cube 984.

What is 984 Cubed?

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

Hence, a cube with side length 984 has an area of 952,763,904.

The sum and the differences of two cubes, for example with side length 984 and 983, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 984, b = 983 and the equivalence we get:
    (984)3 = 1967 x (9842 – 984 × 983 + 9832) – 9833 = 1967 x (968256 – 967272 + 966289) – 949862087 = 1967 x 967273 – 949862087 = 952,763,904
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 984, b = 983 and the equivalence we get:
    (984)3 = (9842 + 984 × 983 + 9832) + 9833 = 968256 + 967272 + 966289 + 949862087 = 952,763,904

As follows from (1), 984 cubed can be calculated from 983 cubed and 984 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(984)3 = (2 × 984 – 1) × (9842 – 984 + 1) – (983)3 = 1967 × (968256 – 983) – 949862087 = 1967 × 967273 – 949862087 = 952,763,904

Using the second formula 984 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(984)3 = 9833 + 3 × 9842 – 3 × 984 + 1 = 949862087 + 3 × 968256 – 3 × 984 + 1 = 949862087 + 2904768 – 2952 + 1 = 952,763,904

If you want to calculate the cube of any number, not only integers like 984, you can use our calculator above.

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A cube similar to 984 is, for example: cube of 986.


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The following table contains the cubes of numbers close to 984.

Table

NumberCube
979938,313,739
980941,192,000
981944,076,141
982946,966,168
983949,862,087
984952,763,904
985955,671,625
986958,585,256
987961,504,803
988964,430,272
989967,361,669

Nine Hundred Eighty-Four Cubed

You now know everything about the cube 984 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

984 cubed is equivalent to 952,763,904.

If you were searching for what is 984 cubed in math or if you typed whats 984 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube984, and 984 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 984 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

984 cubed = 984 x 984 x 984 = (984)3 = 984 to the 3rd power = 952,763,904.

The exponentiation form is mostly used to denote 984 cube.

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