637 Cubed

637 cubed, (637)³, is the number you get when multiplying 637 times 637 times 637.

It can also be looked at as exponentiation involving the base 637 and the exponent 3.

The term is usually pronounced 3rd power of six hundred thirty-seven or six hundred thirty-seven cubed.

The cube of 637 is a perfect cube because the number is the product of the three equal integers 637.

It can be written as 637 × 637 × 637 or in exponential form.

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

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(637)³ = 258,474,853
637 × 637 × 637 = 258,474,853
The inverse operation of cubing 637 is extracting the cube root of 637, explained here.

In the next section we elaborate on the cube 637.

What is 637 Cubed?

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

Hence, a cube with side length 637 has an area of 258,474,853.

The sum and the differences of two cubes, for example with side length 637 and 636, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 637, b = 636 and the equivalence we get:
   (637)³ = 1273 x (637² – 637 × 636 + 636²) – 636³ = 1273 x (405769 – 405132 + 404496) – 257259456 = 1273 x 405133 – 257259456 = 258,474,853
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 637, b = 636 and the equivalence we get:
   (637)³ = (637² + 637 × 636 + 636²) + 636³ = 405769 + 405132 + 404496 + 257259456 = 258,474,853

As follows from (1), 637 cubed can be calculated from 636 cubed and 637 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(637)³ = (2 × 637 – 1) × (637² – 637 + 1) – (636)³ = 1273 × (405769 – 636) – 257259456 = 1273 × 405133 – 257259456 = 258,474,853

Using the second formula 637 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(637)³ = 636³ + 3 × 637² – 3 × 637 + 1 = 257259456 + 3 × 405769 – 3 × 637 + 1 = 257259456 + 1217307 – 1911 + 1 = 258,474,853

If you want to calculate the cube of any number, not only integers like 637, you can use our calculator above.

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A cube similar to 637 is, for example: cube of 639.


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The following table contains the cubes of numbers close to 637.

Table

Six Hundred Thirty-Seven Cubed

You now know everything about the cube 637 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

637 cubed is equivalent to 258,474,853.

If you were searching for what is 637 cubed in math or if you typed whats 637 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube637, and 637 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 637 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

637 cubed = 637 x 637 x 637 = (637)³ = 637 to the 3rd power = 258,474,853.

The exponentiation form is mostly used to denote 637 cube.

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