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520 Cubed

520 cubed, (520)3, is the number you get when multiplying 520 times 520 times 520.

It can also be looked at as exponentiation involving the base 520 and the exponent 3.

The term is usually pronounced 3rd power of five hundred twenty or five hundred twenty cubed.

The cube of 520 is a perfect cube because the number is the product of the three equal integers 520.

It can be written as 520 × 520 × 520 or in exponential form.

Read on to learn everything about the number five hundred twenty cubed, including useful identities.

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(520)3 = 140,608,000
520 × 520 × 520 = 140,608,000

The inverse operation of cubing 520 is extracting the cube root of 520, explained here.

In the next section we elaborate on the cube 520.

What is 520 Cubed?

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

Hence, a cube with side length 520 has an area of 140,608,000.

The sum and the differences of two cubes, for example with side length 520 and 519, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 520, b = 519 and the equivalence we get:
    (520)3 = 1039 x (5202 – 520 × 519 + 5192) – 5193 = 1039 x (270400 – 269880 + 269361) – 139798359 = 1039 x 269881 – 139798359 = 140,608,000
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 520, b = 519 and the equivalence we get:
    (520)3 = (5202 + 520 × 519 + 5192) + 5193 = 270400 + 269880 + 269361 + 139798359 = 140,608,000

As follows from (1), 520 cubed can be calculated from 519 cubed and 520 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(520)3 = (2 × 520 – 1) × (5202 – 520 + 1) – (519)3 = 1039 × (270400 – 519) – 139798359 = 1039 × 269881 – 139798359 = 140,608,000

Using the second formula 520 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(520)3 = 5193 + 3 × 5202 – 3 × 520 + 1 = 139798359 + 3 × 270400 – 3 × 520 + 1 = 139798359 + 811200 – 1560 + 1 = 140,608,000

If you want to calculate the cube of any number, not only integers like 520, you can use our calculator above.

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A cube similar to 520 is, for example: cube of 522.


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The following table contains the cubes of numbers close to 520.

Table

NumberCube
515136,590,875
516137,388,096
517138,188,413
518138,991,832
519139,798,359
520140,608,000
521141,420,761
522142,236,648
523143,055,667
524143,877,824
525144,703,125

Five Hundred Twenty Cubed

You now know everything about the cube 520 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

520 cubed is equivalent to 140,608,000.

If you were searching for what is 520 cubed in math or if you typed whats 520 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube520, and 520 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 520 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

520 cubed = 520 x 520 x 520 = (520)3 = 520 to the 3rd power = 140,608,000.

The exponentiation form is mostly used to denote 520 cube.

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