326 Cubed

326 cubed, (326)³, is the number you get when multiplying 326 times 326 times 326.

It can also be looked at as exponentiation involving the base 326 and the exponent 3.

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

The cube of 326 is a perfect cube because the number is the product of the three equal integers 326.

It can be written as 326 × 326 × 326 or in exponential form.

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

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(326)³ = 34,645,976
326 × 326 × 326 = 34,645,976
The inverse operation of cubing 326 is extracting the cube root of 326, explained here.

In the next section we elaborate on the cube 326.

What is 326 Cubed?

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

Hence, a cube with side length 326 has an area of 34,645,976.

The sum and the differences of two cubes, for example with side length 326 and 325, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 326, b = 325 and the equivalence we get:
   (326)³ = 651 x (326² – 326 × 325 + 325²) – 325³ = 651 x (106276 – 105950 + 105625) – 34328125 = 651 x 105951 – 34328125 = 34,645,976
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 326, b = 325 and the equivalence we get:
   (326)³ = (326² + 326 × 325 + 325²) + 325³ = 106276 + 105950 + 105625 + 34328125 = 34,645,976

As follows from (1), 326 cubed can be calculated from 325 cubed and 326 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(326)³ = (2 × 326 – 1) × (326² – 326 + 1) – (325)³ = 651 × (106276 – 325) – 34328125 = 651 × 105951 – 34328125 = 34,645,976

Using the second formula 326 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(326)³ = 325³ + 3 × 326² – 3 × 326 + 1 = 34328125 + 3 × 106276 – 3 × 326 + 1 = 34328125 + 318828 – 978 + 1 = 34,645,976

If you want to calculate the cube of any number, not only integers like 326, you can use our calculator above.

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A cube similar to 326 is, for example: cube of 328.


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The following table contains the cubes of numbers close to 326.

Table

Three Hundred Twenty-Six Cubed

You now know everything about the cube 326 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

326 cubed is equivalent to 34,645,976.

If you were searching for what is 326 cubed in math or if you typed whats 326 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube326, and 326 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 326 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

326 cubed = 326 x 326 x 326 = (326)³ = 326 to the 3rd power = 34,645,976.

The exponentiation form is mostly used to denote 326 cube.

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