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339 Cubed

339 cubed, (339)3, is the number you get when multiplying 339 times 339 times 339.

It can also be looked at as exponentiation involving the base 339 and the exponent 3.

The term is usually pronounced 3rd power of three hundred thirty-nine or three hundred thirty-nine cubed.

The cube of 339 is a perfect cube because the number is the product of the three equal integers 339.

It can be written as 339 × 339 × 339 or in exponential form.

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

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(339)3 = 38,958,219
339 × 339 × 339 = 38,958,219

The inverse operation of cubing 339 is extracting the cube root of 339, explained here.

In the next section we elaborate on the cube 339.

What is 339 Cubed?

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

Hence, a cube with side length 339 has an area of 38,958,219.

The sum and the differences of two cubes, for example with side length 339 and 338, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 339, b = 338 and the equivalence we get:
    (339)3 = 677 x (3392 – 339 × 338 + 3382) – 3383 = 677 x (114921 – 114582 + 114244) – 38614472 = 677 x 114583 – 38614472 = 38,958,219
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 339, b = 338 and the equivalence we get:
    (339)3 = (3392 + 339 × 338 + 3382) + 3383 = 114921 + 114582 + 114244 + 38614472 = 38,958,219

As follows from (1), 339 cubed can be calculated from 338 cubed and 339 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(339)3 = (2 × 339 – 1) × (3392 – 339 + 1) – (338)3 = 677 × (114921 – 338) – 38614472 = 677 × 114583 – 38614472 = 38,958,219

Using the second formula 339 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(339)3 = 3383 + 3 × 3392 – 3 × 339 + 1 = 38614472 + 3 × 114921 – 3 × 339 + 1 = 38614472 + 344763 – 1017 + 1 = 38,958,219

If you want to calculate the cube of any number, not only integers like 339, you can use our calculator above.

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A cube similar to 339 is, for example: cube of 341.


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The following table contains the cubes of numbers close to 339.

Table

NumberCube
33437,259,704
33537,595,375
33637,933,056
33738,272,753
33838,614,472
33938,958,219
34039,304,000
34139,651,821
34240,001,688
34340,353,607
34440,707,584

Three Hundred Thirty-Nine Cubed

You now know everything about the cube 339 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

339 cubed is equivalent to 38,958,219.

If you were searching for what is 339 cubed in math or if you typed whats 339 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube339, and 339 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 339 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

339 cubed = 339 x 339 x 339 = (339)3 = 339 to the 3rd power = 38,958,219.

The exponentiation form is mostly used to denote 339 cube.

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