Table of Contents
119 cubed, (119)3, is the number you get when multiplying 119 times 119 times 119.
It can also be looked at as exponentiation involving the base 119 and the exponent 3.
The term is usually pronounced 3rd power of one hundred nineteen or one hundred nineteen cubed.
The cube of 119 is a perfect cube because the number is the product of the three equal integers 119.
It can be written as 119 × 119 × 119 or in exponential form.
Read on to learn everything about the number one hundred nineteen cubed, including useful identities.
Calculator
119 × 119 × 119 = 1,685,159
The inverse operation of cubing 119 is extracting the cube root of 119, explained here.
In the next section we elaborate on the cube 119.
What is 119 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 119 has an area of 1,685,159.
The sum and the differences of two cubes, for example with side length 119 and 118, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 119, b = 118 and the equivalence we get:
(119)3 = 237 x (1192 – 119 × 118 + 1182) – 1183 = 237 x (14161 – 14042 + 13924) – 1643032 = 237 x 14043 – 1643032 = 1,685,159 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 119, b = 118 and the equivalence we get:
(119)3 = (1192 + 119 × 118 + 1182) + 1183 = 14161 + 14042 + 13924 + 1643032 = 1,685,159
As follows from (1), 119 cubed can be calculated from 118 cubed and 119 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(119)3 = (2 × 119 – 1) × (1192 – 119 + 1) – (118)3 = 237 × (14161 – 118) – 1643032 = 237 × 14043 – 1643032 = 1,685,159
Using the second formula 119 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(119)3 = 1183 + 3 × 1192 – 3 × 119 + 1 = 1643032 + 3 × 14161 – 3 × 119 + 1 = 1643032 + 42483 – 357 + 1 = 1,685,159
If you want to calculate the cube of any number, not only integers like 119, you can use our calculator above.
Just enter your number; nothing else to be done.
A cube similar to 119 is, for example: cube of 121.
If something remains unclear do not hesitate getting in touch with us.
We are constantly trying to improve our site, and truly appreciate your feedback.
The following table contains the cubes of numbers close to 119.
Table
| Number | Cube |
|---|---|
| 114 | 1,481,544 |
| 115 | 1,520,875 |
| 116 | 1,560,896 |
| 117 | 1,601,613 |
| 118 | 1,643,032 |
| 119 | 1,685,159 |
| 120 | 1,728,000 |
| 121 | 1,771,561 |
| 122 | 1,815,848 |
| 123 | 1,860,867 |
| 124 | 1,906,624 |
One Hundred Nineteen Cubed
You now know everything about the cube 119 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
119 cubed is equivalent to 1,685,159.
If you were searching for what is 119 cubed in math or if you typed whats 119 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube119, and 119 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 119 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
119 cubed = 119 x 119 x 119 = (119)3 = 119 to the 3rd power = 1,685,159.
The exponentiation form is mostly used to denote 119 cube.
If this article about the cube of 119 has helped you then please share it by means of the social buttons.
And should you want to leave a comment related to 119 cubed use the form below.
Last, but no least: Don’t forget to install our free PWA app (see menu or sidebar)!
Websites which are related to this one can be found in the “recommended sites” section in the sidebar.
Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.
And come back soon!
Thanks for visiting 119 cubed.
– Article written by Mark, last updated on November 26th, 2023