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276 cubed, (276)3, is the number you get when multiplying 276 times 276 times 276.
It can also be looked at as exponentiation involving the base 276 and the exponent 3.
The term is usually pronounced 3rd power of two hundred seventy-six or two hundred seventy-six cubed.
The cube of 276 is a perfect cube because the number is the product of the three equal integers 276.
It can be written as 276 × 276 × 276 or in exponential form.
Read on to learn everything about the number two hundred seventy-six cubed, including useful identities.
Calculator
276 × 276 × 276 = 21,024,576
The inverse operation of cubing 276 is extracting the cube root of 276, explained here.
In the next section we elaborate on the cube 276.
What is 276 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 276 has an area of 21,024,576.
The sum and the differences of two cubes, for example with side length 276 and 275, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 276, b = 275 and the equivalence we get:
(276)3 = 551 x (2762 – 276 × 275 + 2752) – 2753 = 551 x (76176 – 75900 + 75625) – 20796875 = 551 x 75901 – 20796875 = 21,024,576 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 276, b = 275 and the equivalence we get:
(276)3 = (2762 + 276 × 275 + 2752) + 2753 = 76176 + 75900 + 75625 + 20796875 = 21,024,576
As follows from (1), 276 cubed can be calculated from 275 cubed and 276 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(276)3 = (2 × 276 – 1) × (2762 – 276 + 1) – (275)3 = 551 × (76176 – 275) – 20796875 = 551 × 75901 – 20796875 = 21,024,576
Using the second formula 276 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(276)3 = 2753 + 3 × 2762 – 3 × 276 + 1 = 20796875 + 3 × 76176 – 3 × 276 + 1 = 20796875 + 228528 – 828 + 1 = 21,024,576
If you want to calculate the cube of any number, not only integers like 276, you can use our calculator above.
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A cube similar to 276 is, for example: cube of 278.
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The following table contains the cubes of numbers close to 276.
Table
| Number | Cube |
|---|---|
| 271 | 19,902,511 |
| 272 | 20,123,648 |
| 273 | 20,346,417 |
| 274 | 20,570,824 |
| 275 | 20,796,875 |
| 276 | 21,024,576 |
| 277 | 21,253,933 |
| 278 | 21,484,952 |
| 279 | 21,717,639 |
| 280 | 21,952,000 |
| 281 | 22,188,041 |
Two Hundred Seventy-Six Cubed
You now know everything about the cube 276 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
276 cubed is equivalent to 21,024,576.
If you were searching for what is 276 cubed in math or if you typed whats 276 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube276, and 276 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 276 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
276 cubed = 276 x 276 x 276 = (276)3 = 276 to the 3rd power = 21,024,576.
The exponentiation form is mostly used to denote 276 cube.
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– Article written by Mark, last updated on November 26th, 2023