746 Cubed

746 cubed, (746)³, is the number you get when multiplying 746 times 746 times 746.

It can also be looked at as exponentiation involving the base 746 and the exponent 3.

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

The cube of 746 is a perfect cube because the number is the product of the three equal integers 746.

It can be written as 746 × 746 × 746 or in exponential form.

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

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(746)³ = 415,160,936
746 × 746 × 746 = 415,160,936
The inverse operation of cubing 746 is extracting the cube root of 746, explained here.

In the next section we elaborate on the cube 746.

What is 746 Cubed?

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

Hence, a cube with side length 746 has an area of 415,160,936.

The sum and the differences of two cubes, for example with side length 746 and 745, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 746, b = 745 and the equivalence we get:
   (746)³ = 1491 x (746² – 746 × 745 + 745²) – 745³ = 1491 x (556516 – 555770 + 555025) – 413493625 = 1491 x 555771 – 413493625 = 415,160,936
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 746, b = 745 and the equivalence we get:
   (746)³ = (746² + 746 × 745 + 745²) + 745³ = 556516 + 555770 + 555025 + 413493625 = 415,160,936

As follows from (1), 746 cubed can be calculated from 745 cubed and 746 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(746)³ = (2 × 746 – 1) × (746² – 746 + 1) – (745)³ = 1491 × (556516 – 745) – 413493625 = 1491 × 555771 – 413493625 = 415,160,936

Using the second formula 746 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(746)³ = 745³ + 3 × 746² – 3 × 746 + 1 = 413493625 + 3 × 556516 – 3 × 746 + 1 = 413493625 + 1669548 – 2238 + 1 = 415,160,936

If you want to calculate the cube of any number, not only integers like 746, you can use our calculator above.

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A cube similar to 746 is, for example: cube of 748.


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The following table contains the cubes of numbers close to 746.

Table

Seven Hundred Forty-Six Cubed

You now know everything about the cube 746 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

746 cubed is equivalent to 415,160,936.

If you were searching for what is 746 cubed in math or if you typed whats 746 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube746, and 746 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 746 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

746 cubed = 746 x 746 x 746 = (746)³ = 746 to the 3rd power = 415,160,936.

The exponentiation form is mostly used to denote 746 cube.

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