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990 Cubed

990 cubed, (990)3, is the number you get when multiplying 990 times 990 times 990.

It can also be looked at as exponentiation involving the base 990 and the exponent 3.

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

The cube of 990 is a perfect cube because the number is the product of the three equal integers 990.

It can be written as 990 × 990 × 990 or in exponential form.

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

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(990)3 = 970,299,000
990 × 990 × 990 = 970,299,000

The inverse operation of cubing 990 is extracting the cube root of 990, explained here.

In the next section we elaborate on the cube 990.

What is 990 Cubed?

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

Hence, a cube with side length 990 has an area of 970,299,000.

The sum and the differences of two cubes, for example with side length 990 and 989, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 990, b = 989 and the equivalence we get:
    (990)3 = 1979 x (9902 – 990 × 989 + 9892) – 9893 = 1979 x (980100 – 979110 + 978121) – 967361669 = 1979 x 979111 – 967361669 = 970,299,000
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 990, b = 989 and the equivalence we get:
    (990)3 = (9902 + 990 × 989 + 9892) + 9893 = 980100 + 979110 + 978121 + 967361669 = 970,299,000

As follows from (1), 990 cubed can be calculated from 989 cubed and 990 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(990)3 = (2 × 990 – 1) × (9902 – 990 + 1) – (989)3 = 1979 × (980100 – 989) – 967361669 = 1979 × 979111 – 967361669 = 970,299,000

Using the second formula 990 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(990)3 = 9893 + 3 × 9902 – 3 × 990 + 1 = 967361669 + 3 × 980100 – 3 × 990 + 1 = 967361669 + 2940300 – 2970 + 1 = 970,299,000

If you want to calculate the cube of any number, not only integers like 990, you can use our calculator above.

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A cube similar to 990 is, for example: cube of 992.


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The following table contains the cubes of numbers close to 990.

Table

NumberCube
985955,671,625
986958,585,256
987961,504,803
988964,430,272
989967,361,669
990970,299,000
991973,242,271
992976,191,488
993979,146,657
994982,107,784
995985,074,875

Nine Hundred Ninety Cubed

You now know everything about the cube 990 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

990 cubed is equivalent to 970,299,000.

If you were searching for what is 990 cubed in math or if you typed whats 990 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube990, and 990 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 990 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

990 cubed = 990 x 990 x 990 = (990)3 = 990 to the 3rd power = 970,299,000.

The exponentiation form is mostly used to denote 990 cube.

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