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352 cubed, (352)3, is the number you get when multiplying 352 times 352 times 352.
It can also be looked at as exponentiation involving the base 352 and the exponent 3.
The term is usually pronounced 3rd power of three hundred fifty-two or three hundred fifty-two cubed.
The cube of 352 is a perfect cube because the number is the product of the three equal integers 352.
It can be written as 352 × 352 × 352 or in exponential form.
Read on to learn everything about the number three hundred fifty-two cubed, including useful identities.
Calculator
352 × 352 × 352 = 43,614,208
The inverse operation of cubing 352 is extracting the cube root of 352, explained here.
In the next section we elaborate on the cube 352.
What is 352 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 352 has an area of 43,614,208.
The sum and the differences of two cubes, for example with side length 352 and 351, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 352, b = 351 and the equivalence we get:
(352)3 = 703 x (3522 – 352 × 351 + 3512) – 3513 = 703 x (123904 – 123552 + 123201) – 43243551 = 703 x 123553 – 43243551 = 43,614,208 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 352, b = 351 and the equivalence we get:
(352)3 = (3522 + 352 × 351 + 3512) + 3513 = 123904 + 123552 + 123201 + 43243551 = 43,614,208
As follows from (1), 352 cubed can be calculated from 351 cubed and 352 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(352)3 = (2 × 352 – 1) × (3522 – 352 + 1) – (351)3 = 703 × (123904 – 351) – 43243551 = 703 × 123553 – 43243551 = 43,614,208
Using the second formula 352 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(352)3 = 3513 + 3 × 3522 – 3 × 352 + 1 = 43243551 + 3 × 123904 – 3 × 352 + 1 = 43243551 + 371712 – 1056 + 1 = 43,614,208
If you want to calculate the cube of any number, not only integers like 352, you can use our calculator above.
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A cube similar to 352 is, for example: cube of 354.
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The following table contains the cubes of numbers close to 352.
Table
| Number | Cube |
|---|---|
| 347 | 41,781,923 |
| 348 | 42,144,192 |
| 349 | 42,508,549 |
| 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 |
Three Hundred Fifty-Two Cubed
You now know everything about the cube 352 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
352 cubed is equivalent to 43,614,208.
If you were searching for what is 352 cubed in math or if you typed whats 352 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube352, and 352 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 352 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
352 cubed = 352 x 352 x 352 = (352)3 = 352 to the 3rd power = 43,614,208.
The exponentiation form is mostly used to denote 352 cube.
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– Article written by Mark, last updated on November 26th, 2023