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289 cubed, (289)3, is the number you get when multiplying 289 times 289 times 289.
It can also be looked at as exponentiation involving the base 289 and the exponent 3.
The term is usually pronounced 3rd power of two hundred eighty-nine or two hundred eighty-nine cubed.
The cube of 289 is a perfect cube because the number is the product of the three equal integers 289.
It can be written as 289 × 289 × 289 or in exponential form.
Read on to learn everything about the number two hundred eighty-nine cubed, including useful identities.
Calculator
289 × 289 × 289 = 24,137,569
The inverse operation of cubing 289 is extracting the cube root of 289, explained here.
In the next section we elaborate on the cube 289.
What is 289 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 289 has an area of 24,137,569.
The sum and the differences of two cubes, for example with side length 289 and 288, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 289, b = 288 and the equivalence we get:
(289)3 = 577 x (2892 – 289 × 288 + 2882) – 2883 = 577 x (83521 – 83232 + 82944) – 23887872 = 577 x 83233 – 23887872 = 24,137,569 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 289, b = 288 and the equivalence we get:
(289)3 = (2892 + 289 × 288 + 2882) + 2883 = 83521 + 83232 + 82944 + 23887872 = 24,137,569
As follows from (1), 289 cubed can be calculated from 288 cubed and 289 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(289)3 = (2 × 289 – 1) × (2892 – 289 + 1) – (288)3 = 577 × (83521 – 288) – 23887872 = 577 × 83233 – 23887872 = 24,137,569
Using the second formula 289 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(289)3 = 2883 + 3 × 2892 – 3 × 289 + 1 = 23887872 + 3 × 83521 – 3 × 289 + 1 = 23887872 + 250563 – 867 + 1 = 24,137,569
If you want to calculate the cube of any number, not only integers like 289, you can use our calculator above.
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A cube similar to 289 is, for example: cube of 291.
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The following table contains the cubes of numbers close to 289.
Table
| Number | Cube |
|---|---|
| 284 | 22,906,304 |
| 285 | 23,149,125 |
| 286 | 23,393,656 |
| 287 | 23,639,903 |
| 288 | 23,887,872 |
| 289 | 24,137,569 |
| 290 | 24,389,000 |
| 291 | 24,642,171 |
| 292 | 24,897,088 |
| 293 | 25,153,757 |
| 294 | 25,412,184 |
Two Hundred Eighty-Nine Cubed
You now know everything about the cube 289 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
289 cubed is equivalent to 24,137,569.
If you were searching for what is 289 cubed in math or if you typed whats 289 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube289, and 289 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 289 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
289 cubed = 289 x 289 x 289 = (289)3 = 289 to the 3rd power = 24,137,569.
The exponentiation form is mostly used to denote 289 cube.
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– Article written by Mark, last updated on November 26th, 2023