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266 cubed, (266)3, is the number you get when multiplying 266 times 266 times 266.
It can also be looked at as exponentiation involving the base 266 and the exponent 3.
The term is usually pronounced 3rd power of two hundred sixty-six or two hundred sixty-six cubed.
The cube of 266 is a perfect cube because the number is the product of the three equal integers 266.
It can be written as 266 × 266 × 266 or in exponential form.
Read on to learn everything about the number two hundred sixty-six cubed, including useful identities.
Calculator
266 × 266 × 266 = 18,821,096
The inverse operation of cubing 266 is extracting the cube root of 266, explained here.
In the next section we elaborate on the cube 266.
What is 266 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 266 has an area of 18,821,096.
The sum and the differences of two cubes, for example with side length 266 and 265, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 266, b = 265 and the equivalence we get:
(266)3 = 531 x (2662 – 266 × 265 + 2652) – 2653 = 531 x (70756 – 70490 + 70225) – 18609625 = 531 x 70491 – 18609625 = 18,821,096 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 266, b = 265 and the equivalence we get:
(266)3 = (2662 + 266 × 265 + 2652) + 2653 = 70756 + 70490 + 70225 + 18609625 = 18,821,096
As follows from (1), 266 cubed can be calculated from 265 cubed and 266 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(266)3 = (2 × 266 – 1) × (2662 – 266 + 1) – (265)3 = 531 × (70756 – 265) – 18609625 = 531 × 70491 – 18609625 = 18,821,096
Using the second formula 266 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(266)3 = 2653 + 3 × 2662 – 3 × 266 + 1 = 18609625 + 3 × 70756 – 3 × 266 + 1 = 18609625 + 212268 – 798 + 1 = 18,821,096
If you want to calculate the cube of any number, not only integers like 266, you can use our calculator above.
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A cube similar to 266 is, for example: cube of 268.
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The following table contains the cubes of numbers close to 266.
Table
| Number | Cube |
|---|---|
| 261 | 17,779,581 |
| 262 | 17,984,728 |
| 263 | 18,191,447 |
| 264 | 18,399,744 |
| 265 | 18,609,625 |
| 266 | 18,821,096 |
| 267 | 19,034,163 |
| 268 | 19,248,832 |
| 269 | 19,465,109 |
| 270 | 19,683,000 |
| 271 | 19,902,511 |
Two Hundred Sixty-Six Cubed
You now know everything about the cube 266 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
266 cubed is equivalent to 18,821,096.
If you were searching for what is 266 cubed in math or if you typed whats 266 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube266, and 266 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 266 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
266 cubed = 266 x 266 x 266 = (266)3 = 266 to the 3rd power = 18,821,096.
The exponentiation form is mostly used to denote 266 cube.
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– Article written by Mark, last updated on November 26th, 2023