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568 Cubed

568 cubed, (568)3, is the number you get when multiplying 568 times 568 times 568.

It can also be looked at as exponentiation involving the base 568 and the exponent 3.

The term is usually pronounced 3rd power of five hundred sixty-eight or five hundred sixty-eight cubed.

The cube of 568 is a perfect cube because the number is the product of the three equal integers 568.

It can be written as 568 × 568 × 568 or in exponential form.

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

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(568)3 = 183,250,432
568 × 568 × 568 = 183,250,432

The inverse operation of cubing 568 is extracting the cube root of 568, explained here.

In the next section we elaborate on the cube 568.

What is 568 Cubed?

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

Hence, a cube with side length 568 has an area of 183,250,432.

The sum and the differences of two cubes, for example with side length 568 and 567, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 568, b = 567 and the equivalence we get:
    (568)3 = 1135 x (5682 – 568 × 567 + 5672) – 5673 = 1135 x (322624 – 322056 + 321489) – 182284263 = 1135 x 322057 – 182284263 = 183,250,432
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 568, b = 567 and the equivalence we get:
    (568)3 = (5682 + 568 × 567 + 5672) + 5673 = 322624 + 322056 + 321489 + 182284263 = 183,250,432

As follows from (1), 568 cubed can be calculated from 567 cubed and 568 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(568)3 = (2 × 568 – 1) × (5682 – 568 + 1) – (567)3 = 1135 × (322624 – 567) – 182284263 = 1135 × 322057 – 182284263 = 183,250,432

Using the second formula 568 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(568)3 = 5673 + 3 × 5682 – 3 × 568 + 1 = 182284263 + 3 × 322624 – 3 × 568 + 1 = 182284263 + 967872 – 1704 + 1 = 183,250,432

If you want to calculate the cube of any number, not only integers like 568, you can use our calculator above.

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A cube similar to 568 is, for example: cube of 570.


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The following table contains the cubes of numbers close to 568.

Table

NumberCube
563178,453,547
564179,406,144
565180,362,125
566181,321,496
567182,284,263
568183,250,432
569184,220,009
570185,193,000
571186,169,411
572187,149,248
573188,132,517

Five Hundred Sixty-Eight Cubed

You now know everything about the cube 568 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

568 cubed is equivalent to 183,250,432.

If you were searching for what is 568 cubed in math or if you typed whats 568 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube568, and 568 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 568 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

568 cubed = 568 x 568 x 568 = (568)3 = 568 to the 3rd power = 183,250,432.

The exponentiation form is mostly used to denote 568 cube.

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