673 Cubed

673 cubed, (673)³, is the number you get when multiplying 673 times 673 times 673.

It can also be looked at as exponentiation involving the base 673 and the exponent 3.

The term is usually pronounced 3rd power of six hundred seventy-three or six hundred seventy-three cubed.

The cube of 673 is a perfect cube because the number is the product of the three equal integers 673.

It can be written as 673 × 673 × 673 or in exponential form.

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

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(673)³ = 304,821,217
673 × 673 × 673 = 304,821,217
The inverse operation of cubing 673 is extracting the cube root of 673, explained here.

In the next section we elaborate on the cube 673.

What is 673 Cubed?

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

Hence, a cube with side length 673 has an area of 304,821,217.

The sum and the differences of two cubes, for example with side length 673 and 672, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 673, b = 672 and the equivalence we get:
   (673)³ = 1345 x (673² – 673 × 672 + 672²) – 672³ = 1345 x (452929 – 452256 + 451584) – 303464448 = 1345 x 452257 – 303464448 = 304,821,217
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 673, b = 672 and the equivalence we get:
   (673)³ = (673² + 673 × 672 + 672²) + 672³ = 452929 + 452256 + 451584 + 303464448 = 304,821,217

As follows from (1), 673 cubed can be calculated from 672 cubed and 673 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(673)³ = (2 × 673 – 1) × (673² – 673 + 1) – (672)³ = 1345 × (452929 – 672) – 303464448 = 1345 × 452257 – 303464448 = 304,821,217

Using the second formula 673 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(673)³ = 672³ + 3 × 673² – 3 × 673 + 1 = 303464448 + 3 × 452929 – 3 × 673 + 1 = 303464448 + 1358787 – 2019 + 1 = 304,821,217

If you want to calculate the cube of any number, not only integers like 673, you can use our calculator above.

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A cube similar to 673 is, for example: cube of 675.


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The following table contains the cubes of numbers close to 673.

Table

Six Hundred Seventy-Three Cubed

You now know everything about the cube 673 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

673 cubed is equivalent to 304,821,217.

If you were searching for what is 673 cubed in math or if you typed whats 673 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube673, and 673 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 673 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

673 cubed = 673 x 673 x 673 = (673)³ = 673 to the 3rd power = 304,821,217.

The exponentiation form is mostly used to denote 673 cube.

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