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723 Cubed

723 cubed, (723)3, is the number you get when multiplying 723 times 723 times 723.

It can also be looked at as exponentiation involving the base 723 and the exponent 3.

The term is usually pronounced 3rd power of seven hundred twenty-three or seven hundred twenty-three cubed.

The cube of 723 is a perfect cube because the number is the product of the three equal integers 723.

It can be written as 723 × 723 × 723 or in exponential form.

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

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(723)3 = 377,933,067
723 × 723 × 723 = 377,933,067

The inverse operation of cubing 723 is extracting the cube root of 723, explained here.

In the next section we elaborate on the cube 723.

What is 723 Cubed?

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

Hence, a cube with side length 723 has an area of 377,933,067.

The sum and the differences of two cubes, for example with side length 723 and 722, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 723, b = 722 and the equivalence we get:
    (723)3 = 1445 x (7232 – 723 × 722 + 7222) – 7223 = 1445 x (522729 – 522006 + 521284) – 376367048 = 1445 x 522007 – 376367048 = 377,933,067
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 723, b = 722 and the equivalence we get:
    (723)3 = (7232 + 723 × 722 + 7222) + 7223 = 522729 + 522006 + 521284 + 376367048 = 377,933,067

As follows from (1), 723 cubed can be calculated from 722 cubed and 723 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(723)3 = (2 × 723 – 1) × (7232 – 723 + 1) – (722)3 = 1445 × (522729 – 722) – 376367048 = 1445 × 522007 – 376367048 = 377,933,067

Using the second formula 723 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(723)3 = 7223 + 3 × 7232 – 3 × 723 + 1 = 376367048 + 3 × 522729 – 3 × 723 + 1 = 376367048 + 1568187 – 2169 + 1 = 377,933,067

If you want to calculate the cube of any number, not only integers like 723, you can use our calculator above.

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A cube similar to 723 is, for example: cube of 725.


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The following table contains the cubes of numbers close to 723.

Table

NumberCube
718370,146,232
719371,694,959
720373,248,000
721374,805,361
722376,367,048
723377,933,067
724379,503,424
725381,078,125
726382,657,176
727384,240,583
728385,828,352

Seven Hundred Twenty-Three Cubed

You now know everything about the cube 723 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

723 cubed is equivalent to 377,933,067.

If you were searching for what is 723 cubed in math or if you typed whats 723 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube723, and 723 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 723 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

723 cubed = 723 x 723 x 723 = (723)3 = 723 to the 3rd power = 377,933,067.

The exponentiation form is mostly used to denote 723 cube.

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