748 Cubed

748 cubed, (748)³, is the number you get when multiplying 748 times 748 times 748.

It can also be looked at as exponentiation involving the base 748 and the exponent 3.

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

The cube of 748 is a perfect cube because the number is the product of the three equal integers 748.

It can be written as 748 × 748 × 748 or in exponential form.

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

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(748)³ = 418,508,992
748 × 748 × 748 = 418,508,992
The inverse operation of cubing 748 is extracting the cube root of 748, explained here.

In the next section we elaborate on the cube 748.

What is 748 Cubed?

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

Hence, a cube with side length 748 has an area of 418,508,992.

The sum and the differences of two cubes, for example with side length 748 and 747, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 748, b = 747 and the equivalence we get:
   (748)³ = 1495 x (748² – 748 × 747 + 747²) – 747³ = 1495 x (559504 – 558756 + 558009) – 416832723 = 1495 x 558757 – 416832723 = 418,508,992
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 748, b = 747 and the equivalence we get:
   (748)³ = (748² + 748 × 747 + 747²) + 747³ = 559504 + 558756 + 558009 + 416832723 = 418,508,992

As follows from (1), 748 cubed can be calculated from 747 cubed and 748 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(748)³ = (2 × 748 – 1) × (748² – 748 + 1) – (747)³ = 1495 × (559504 – 747) – 416832723 = 1495 × 558757 – 416832723 = 418,508,992

Using the second formula 748 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(748)³ = 747³ + 3 × 748² – 3 × 748 + 1 = 416832723 + 3 × 559504 – 3 × 748 + 1 = 416832723 + 1678512 – 2244 + 1 = 418,508,992

If you want to calculate the cube of any number, not only integers like 748, you can use our calculator above.

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A cube similar to 748 is, for example: cube of 750.


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The following table contains the cubes of numbers close to 748.

Table

Seven Hundred Forty-Eight Cubed

You now know everything about the cube 748 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

748 cubed is equivalent to 418,508,992.

If you were searching for what is 748 cubed in math or if you typed whats 748 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube748, and 748 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 748 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

748 cubed = 748 x 748 x 748 = (748)³ = 748 to the 3rd power = 418,508,992.

The exponentiation form is mostly used to denote 748 cube.

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