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368 cubed, (368)3, is the number you get when multiplying 368 times 368 times 368.
It can also be looked at as exponentiation involving the base 368 and the exponent 3.
The term is usually pronounced 3rd power of three hundred sixty-eight or three hundred sixty-eight cubed.
The cube of 368 is a perfect cube because the number is the product of the three equal integers 368.
It can be written as 368 × 368 × 368 or in exponential form.
Read on to learn everything about the number three hundred sixty-eight cubed, including useful identities.
Calculator
368 × 368 × 368 = 49,836,032
The inverse operation of cubing 368 is extracting the cube root of 368, explained here.
In the next section we elaborate on the cube 368.
What is 368 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 368 has an area of 49,836,032.
The sum and the differences of two cubes, for example with side length 368 and 367, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 368, b = 367 and the equivalence we get:
(368)3 = 735 x (3682 – 368 × 367 + 3672) – 3673 = 735 x (135424 – 135056 + 134689) – 49430863 = 735 x 135057 – 49430863 = 49,836,032 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 368, b = 367 and the equivalence we get:
(368)3 = (3682 + 368 × 367 + 3672) + 3673 = 135424 + 135056 + 134689 + 49430863 = 49,836,032
As follows from (1), 368 cubed can be calculated from 367 cubed and 368 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(368)3 = (2 × 368 – 1) × (3682 – 368 + 1) – (367)3 = 735 × (135424 – 367) – 49430863 = 735 × 135057 – 49430863 = 49,836,032
Using the second formula 368 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(368)3 = 3673 + 3 × 3682 – 3 × 368 + 1 = 49430863 + 3 × 135424 – 3 × 368 + 1 = 49430863 + 406272 – 1104 + 1 = 49,836,032
If you want to calculate the cube of any number, not only integers like 368, you can use our calculator above.
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A cube similar to 368 is, for example: cube of 370.
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The following table contains the cubes of numbers close to 368.
Table
| Number | Cube |
|---|---|
| 363 | 47,832,147 |
| 364 | 48,228,544 |
| 365 | 48,627,125 |
| 366 | 49,027,896 |
| 367 | 49,430,863 |
| 368 | 49,836,032 |
| 369 | 50,243,409 |
| 370 | 50,653,000 |
| 371 | 51,064,811 |
| 372 | 51,478,848 |
| 373 | 51,895,117 |
Three Hundred Sixty-Eight Cubed
You now know everything about the cube 368 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
368 cubed is equivalent to 49,836,032.
If you were searching for what is 368 cubed in math or if you typed whats 368 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube368, and 368 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 368 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
368 cubed = 368 x 368 x 368 = (368)3 = 368 to the 3rd power = 49,836,032.
The exponentiation form is mostly used to denote 368 cube.
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– Article written by Mark, last updated on November 26th, 2023