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355 cubed, (355)3, is the number you get when multiplying 355 times 355 times 355.
It can also be looked at as exponentiation involving the base 355 and the exponent 3.
The term is usually pronounced 3rd power of three hundred fifty-five or three hundred fifty-five cubed.
The cube of 355 is a perfect cube because the number is the product of the three equal integers 355.
It can be written as 355 × 355 × 355 or in exponential form.
Read on to learn everything about the number three hundred fifty-five cubed, including useful identities.
Calculator
355 × 355 × 355 = 44,738,875
The inverse operation of cubing 355 is extracting the cube root of 355, explained here.
In the next section we elaborate on the cube 355.
What is 355 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 355 has an area of 44,738,875.
The sum and the differences of two cubes, for example with side length 355 and 354, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 355, b = 354 and the equivalence we get:
(355)3 = 709 x (3552 – 355 × 354 + 3542) – 3543 = 709 x (126025 – 125670 + 125316) – 44361864 = 709 x 125671 – 44361864 = 44,738,875 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 355, b = 354 and the equivalence we get:
(355)3 = (3552 + 355 × 354 + 3542) + 3543 = 126025 + 125670 + 125316 + 44361864 = 44,738,875
As follows from (1), 355 cubed can be calculated from 354 cubed and 355 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(355)3 = (2 × 355 – 1) × (3552 – 355 + 1) – (354)3 = 709 × (126025 – 354) – 44361864 = 709 × 125671 – 44361864 = 44,738,875
Using the second formula 355 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(355)3 = 3543 + 3 × 3552 – 3 × 355 + 1 = 44361864 + 3 × 126025 – 3 × 355 + 1 = 44361864 + 378075 – 1065 + 1 = 44,738,875
If you want to calculate the cube of any number, not only integers like 355, you can use our calculator above.
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A cube similar to 355 is, for example: cube of 357.
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The following table contains the cubes of numbers close to 355.
Table
| Number | Cube |
|---|---|
| 350 | 42,875,000 |
| 351 | 43,243,551 |
| 352 | 43,614,208 |
| 353 | 43,986,977 |
| 354 | 44,361,864 |
| 355 | 44,738,875 |
| 356 | 45,118,016 |
| 357 | 45,499,293 |
| 358 | 45,882,712 |
| 359 | 46,268,279 |
| 360 | 46,656,000 |
Three Hundred Fifty-Five Cubed
You now know everything about the cube 355 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
355 cubed is equivalent to 44,738,875.
If you were searching for what is 355 cubed in math or if you typed whats 355 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube355, and 355 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 355 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
355 cubed = 355 x 355 x 355 = (355)3 = 355 to the 3rd power = 44,738,875.
The exponentiation form is mostly used to denote 355 cube.
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– Article written by Mark, last updated on November 26th, 2023