Table of Contents
445 cubed, (445)3, is the number you get when multiplying 445 times 445 times 445.
It can also be looked at as exponentiation involving the base 445 and the exponent 3.
The term is usually pronounced 3rd power of four hundred forty-five or four hundred forty-five cubed.
The cube of 445 is a perfect cube because the number is the product of the three equal integers 445.
It can be written as 445 × 445 × 445 or in exponential form.
Read on to learn everything about the number four hundred forty-five cubed, including useful identities.
Calculator
445 × 445 × 445 = 88,121,125
The inverse operation of cubing 445 is extracting the cube root of 445, explained here.
In the next section we elaborate on the cube 445.
What is 445 Cubed?
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 445 has an area of 88,121,125.
The sum and the differences of two cubes, for example with side length 445 and 444, can be calculated with the following formulas:
- a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 445, b = 444 and the equivalence we get:
(445)3 = 889 x (4452 – 445 × 444 + 4442) – 4443 = 889 x (198025 – 197580 + 197136) – 87528384 = 889 x 197581 – 87528384 = 88,121,125 - a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 445, b = 444 and the equivalence we get:
(445)3 = (4452 + 445 × 444 + 4442) + 4443 = 198025 + 197580 + 197136 + 87528384 = 88,121,125
As follows from (1), 445 cubed can be calculated from 444 cubed and 445 squared using the identity:
n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(445)3 = (2 × 445 – 1) × (4452 – 445 + 1) – (444)3 = 889 × (198025 – 444) – 87528384 = 889 × 197581 – 87528384 = 88,121,125
Using the second formula 445 cubed can be also be computed with this identity:
n3 = (n-1)3 + 3n2 -3n + 1
(445)3 = 4443 + 3 × 4452 – 3 × 445 + 1 = 87528384 + 3 × 198025 – 3 × 445 + 1 = 87528384 + 594075 – 1335 + 1 = 88,121,125
If you want to calculate the cube of any number, not only integers like 445, you can use our calculator above.
Just enter your number; nothing else to be done.
A cube similar to 445 is, for example: cube of 447.
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 445.
Table
| Number | Cube |
|---|---|
| 440 | 85,184,000 |
| 441 | 85,766,121 |
| 442 | 86,350,888 |
| 443 | 86,938,307 |
| 444 | 87,528,384 |
| 445 | 88,121,125 |
| 446 | 88,716,536 |
| 447 | 89,314,623 |
| 448 | 89,915,392 |
| 449 | 90,518,849 |
| 450 | 91,125,000 |
Four Hundred Forty-Five Cubed
You now know everything about the cube 445 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:
445 cubed is equivalent to 88,121,125.
If you were searching for what is 445 cubed in math or if you typed whats 445 cubed in the search engine you now have all the answers, too.
The same goes for searches like cube445, and 445 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 445 cubed using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
445 cubed = 445 x 445 x 445 = (445)3 = 445 to the 3rd power = 88,121,125.
The exponentiation form is mostly used to denote 445 cube.
If this article about the cube of 445 has helped you then please share it by means of the social buttons.
And should you want to leave a comment related to 445 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 445 cubed.
– Article written by Mark, last updated on November 26th, 2023