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26 cubed, (26)3, is the number you get when multiplying 26 times 26 times 26.
It can also be looked at as exponentiation involving the base 26 and the exponent 3.
The term is usually pronounced 3rd power of twenty-six or twenty-six cubed.
The cube of 26 is a perfect cube because the number is the product of the three equal integers 26.
It can be written as 26 × 26 × 26 or in exponential form.
Read on to learn everything about the number twenty-six cubed, including useful identities.
Calculator
26 × 26 × 26 = 17,576
The inverse operation of cubing 26 is extracting the cube root of 26, explained here.
In the next section we elaborate on the cube 26.
What is 26 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 26 has an area of 17,576.
The sum and the differences of two cubes, for example with side length 26 and 25, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 26, b = 25 and the equivalence we get:
(26)3 = 51 x (262 – 26 × 25 + 252) – 253 = 51 x (676 – 650 + 625) – 15625 = 51 x 651 – 15625 = 17,576 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 26, b = 25 and the equivalence we get:
(26)3 = (262 + 26 × 25 + 252) + 253 = 676 + 650 + 625 + 15625 = 17,576
As follows from (1), 26 cubed can be calculated from 25 cubed and 26 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(26)3 = (2 × 26 – 1) × (262 – 26 + 1) – (25)3 = 51 × (676 – 25) – 15625 = 51 × 651 – 15625 = 17,576
Using the second formula 26 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(26)3 = 253 + 3 × 262 – 3 × 26 + 1 = 15625 + 3 × 676 – 3 × 26 + 1 = 15625 + 2028 – 78 + 1 = 17,576
If you want to calculate the cube of any number, not only integers like 26, you can use our calculator above.
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A cube similar to 26 is, for example: cube of 28.
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The following table contains the cubes of numbers close to 26.
Table
| Number | Cube |
|---|---|
| 21 | 9,261 |
| 22 | 10,648 |
| 23 | 12,167 |
| 24 | 13,824 |
| 25 | 15,625 |
| 26 | 17,576 |
| 27 | 19,683 |
| 28 | 21,952 |
| 29 | 24,389 |
| 30 | 27,000 |
| 31 | 29,791 |
Twenty-Six Cubed
You now know everything about the cube 26 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
26 cubed is equivalent to 17,576.
If you were searching for what is 26 cubed in math or if you typed whats 26 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube26, and 26 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 26 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
26 cubed = 26 x 26 x 26 = (26)3 = 26 to the 3rd power = 17,576.
The exponentiation form is mostly used to denote 26 cube.
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– Article written by Mark, last updated on November 26th, 2023