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11 cubed, (11)3, is the number you get when multiplying 11 times 11 times 11.
It can also be looked at as exponentiation involving the base 11 and the exponent 3.
The term is usually pronounced 3rd power of eleven or eleven cubed.
The cube of 11 is a perfect cube because the number is the product of the three equal integers 11.
It can be written as 11 × 11 × 11 or in exponential form.
Read on to learn everything about the number eleven cubed, including useful identities.
Calculator
11 × 11 × 11 = 1,331
The inverse operation of cubing 11 is extracting the cube root of 11, explained here.
In the next section we elaborate on the cube 11.
What is 11 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 11 has an area of 1,331.
The sum and the differences of two cubes, for example with side length 11 and 10, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 11, b = 10 and the equivalence we get:
(11)3 = 21 x (112 – 11 × 10 + 102) – 103 = 21 x (121 – 110 + 100) – 1000 = 21 x 111 – 1000 = 1,331 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 11, b = 10 and the equivalence we get:
(11)3 = (112 + 11 × 10 + 102) + 103 = 121 + 110 + 100 + 1000 = 1,331
As follows from (1), 11 cubed can be calculated from 10 cubed and 11 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(11)3 = (2 × 11 – 1) × (112 – 11 + 1) – (10)3 = 21 × (121 – 10) – 1000 = 21 × 111 – 1000 = 1,331
Using the second formula 11 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(11)3 = 103 + 3 × 112 – 3 × 11 + 1 = 1000 + 3 × 121 – 3 × 11 + 1 = 1000 + 363 – 33 + 1 = 1,331
If you want to calculate the cube of any number, not only integers like 11, you can use our calculator above.
Just enter your number; nothing else to be done.
A cube similar to 11 is, for example: cube of 13.
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The following table contains the cubes of numbers close to 11.
Table
| Number | Cube |
|---|---|
| 6 | 216 |
| 7 | 343 |
| 8 | 512 |
| 9 | 729 |
| 10 | 1,000 |
| 11 | 1,331 |
| 12 | 1,728 |
| 13 | 2,197 |
| 14 | 2,744 |
| 15 | 3,375 |
| 16 | 4,096 |
Eleven Cubed
You now know everything about the cube 11 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
11 cubed is equivalent to 1,331.
If you were searching for what is 11 cubed in math or if you typed whats 11 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube11, and 11 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 11 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
11 cubed = 11 x 11 x 11 = (11)3 = 11 to the 3rd power = 1,331.
The exponentiation form is mostly used to denote 11 cube.
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– Article written by Mark, last updated on November 26th, 2023