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524 Cubed

524 cubed, (524)3, is the number you get when multiplying 524 times 524 times 524.

It can also be looked at as exponentiation involving the base 524 and the exponent 3.

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

The cube of 524 is a perfect cube because the number is the product of the three equal integers 524.

It can be written as 524 × 524 × 524 or in exponential form.

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

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(524)3 = 143,877,824
524 × 524 × 524 = 143,877,824

The inverse operation of cubing 524 is extracting the cube root of 524, explained here.

In the next section we elaborate on the cube 524.

What is 524 Cubed?

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

Hence, a cube with side length 524 has an area of 143,877,824.

The sum and the differences of two cubes, for example with side length 524 and 523, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 524, b = 523 and the equivalence we get:
    (524)3 = 1047 x (5242 – 524 × 523 + 5232) – 5233 = 1047 x (274576 – 274052 + 273529) – 143055667 = 1047 x 274053 – 143055667 = 143,877,824
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 524, b = 523 and the equivalence we get:
    (524)3 = (5242 + 524 × 523 + 5232) + 5233 = 274576 + 274052 + 273529 + 143055667 = 143,877,824

As follows from (1), 524 cubed can be calculated from 523 cubed and 524 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(524)3 = (2 × 524 – 1) × (5242 – 524 + 1) – (523)3 = 1047 × (274576 – 523) – 143055667 = 1047 × 274053 – 143055667 = 143,877,824

Using the second formula 524 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(524)3 = 5233 + 3 × 5242 – 3 × 524 + 1 = 143055667 + 3 × 274576 – 3 × 524 + 1 = 143055667 + 823728 – 1572 + 1 = 143,877,824

If you want to calculate the cube of any number, not only integers like 524, you can use our calculator above.

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A cube similar to 524 is, for example: cube of 526.


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The following table contains the cubes of numbers close to 524.

Table

NumberCube
519139,798,359
520140,608,000
521141,420,761
522142,236,648
523143,055,667
524143,877,824
525144,703,125
526145,531,576
527146,363,183
528147,197,952
529148,035,889

Five Hundred Twenty-Four Cubed

You now know everything about the cube 524 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

524 cubed is equivalent to 143,877,824.

If you were searching for what is 524 cubed in math or if you typed whats 524 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube524, and 524 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 524 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

524 cubed = 524 x 524 x 524 = (524)3 = 524 to the 3rd power = 143,877,824.

The exponentiation form is mostly used to denote 524 cube.

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