526 Cubed

526 cubed, (526)³, is the number you get when multiplying 526 times 526 times 526.

It can also be looked at as exponentiation involving the base 526 and the exponent 3.

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

The cube of 526 is a perfect cube because the number is the product of the three equal integers 526.

It can be written as 526 × 526 × 526 or in exponential form.

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

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(526)³ = 145,531,576
526 × 526 × 526 = 145,531,576
The inverse operation of cubing 526 is extracting the cube root of 526, explained here.

In the next section we elaborate on the cube 526.

What is 526 Cubed?

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

Hence, a cube with side length 526 has an area of 145,531,576.

The sum and the differences of two cubes, for example with side length 526 and 525, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 526, b = 525 and the equivalence we get:
   (526)³ = 1051 x (526² – 526 × 525 + 525²) – 525³ = 1051 x (276676 – 276150 + 275625) – 144703125 = 1051 x 276151 – 144703125 = 145,531,576
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 526, b = 525 and the equivalence we get:
   (526)³ = (526² + 526 × 525 + 525²) + 525³ = 276676 + 276150 + 275625 + 144703125 = 145,531,576

As follows from (1), 526 cubed can be calculated from 525 cubed and 526 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(526)³ = (2 × 526 – 1) × (526² – 526 + 1) – (525)³ = 1051 × (276676 – 525) – 144703125 = 1051 × 276151 – 144703125 = 145,531,576

Using the second formula 526 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(526)³ = 525³ + 3 × 526² – 3 × 526 + 1 = 144703125 + 3 × 276676 – 3 × 526 + 1 = 144703125 + 830028 – 1578 + 1 = 145,531,576

If you want to calculate the cube of any number, not only integers like 526, you can use our calculator above.

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A cube similar to 526 is, for example: cube of 528.


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The following table contains the cubes of numbers close to 526.

Table

Five Hundred Twenty-Six Cubed

You now know everything about the cube 526 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

526 cubed is equivalent to 145,531,576.

If you were searching for what is 526 cubed in math or if you typed whats 526 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube526, and 526 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 526 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

526 cubed = 526 x 526 x 526 = (526)³ = 526 to the 3rd power = 145,531,576.

The exponentiation form is mostly used to denote 526 cube.

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