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275 cubed, (275)3, is the number you get when multiplying 275 times 275 times 275.
It can also be looked at as exponentiation involving the base 275 and the exponent 3.
The term is usually pronounced 3rd power of two hundred seventy-five or two hundred seventy-five cubed.
The cube of 275 is a perfect cube because the number is the product of the three equal integers 275.
It can be written as 275 × 275 × 275 or in exponential form.
Read on to learn everything about the number two hundred seventy-five cubed, including useful identities.
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275 × 275 × 275 = 20,796,875
The inverse operation of cubing 275 is extracting the cube root of 275, explained here.
In the next section we elaborate on the cube 275.
What is 275 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 275 has an area of 20,796,875.
The sum and the differences of two cubes, for example with side length 275 and 274, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 275, b = 274 and the equivalence we get:
(275)3 = 549 x (2752 – 275 × 274 + 2742) – 2743 = 549 x (75625 – 75350 + 75076) – 20570824 = 549 x 75351 – 20570824 = 20,796,875 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 275, b = 274 and the equivalence we get:
(275)3 = (2752 + 275 × 274 + 2742) + 2743 = 75625 + 75350 + 75076 + 20570824 = 20,796,875
As follows from (1), 275 cubed can be calculated from 274 cubed and 275 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(275)3 = (2 × 275 – 1) × (2752 – 275 + 1) – (274)3 = 549 × (75625 – 274) – 20570824 = 549 × 75351 – 20570824 = 20,796,875
Using the second formula 275 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(275)3 = 2743 + 3 × 2752 – 3 × 275 + 1 = 20570824 + 3 × 75625 – 3 × 275 + 1 = 20570824 + 226875 – 825 + 1 = 20,796,875
If you want to calculate the cube of any number, not only integers like 275, you can use our calculator above.
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A cube similar to 275 is, for example: cube of 277.
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The following table contains the cubes of numbers close to 275.
Table
| Number | Cube |
|---|---|
| 270 | 19,683,000 |
| 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 |
Two Hundred Seventy-Five Cubed
You now know everything about the cube 275 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
275 cubed is equivalent to 20,796,875.
If you were searching for what is 275 cubed in math or if you typed whats 275 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube275, and 275 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 275 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
275 cubed = 275 x 275 x 275 = (275)3 = 275 to the 3rd power = 20,796,875.
The exponentiation form is mostly used to denote 275 cube.
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– Article written by Mark, last updated on November 26th, 2023