65 Cubed

65 cubed, (65)³, is the number you get when multiplying 65 times 65 times 65.

It can also be looked at as exponentiation involving the base 65 and the exponent 3.

The term is usually pronounced 3rd power of sixty-five or sixty-five cubed.

The cube of 65 is a perfect cube because the number is the product of the three equal integers 65.

It can be written as 65 × 65 × 65 or in exponential form.

Read on to learn everything about the number sixty-five cubed, including useful identities.

Calculator

Number:

Number Cubed:

Reset

(65)³ = 274,625
65 × 65 × 65 = 274,625
The inverse operation of cubing 65 is extracting the cube root of 65, explained here.

In the next section we elaborate on the cube 65.

What is 65 Cubed?

A cube is a three-dimensional shape with 6 equal square faces.

Hence, a cube with side length 65 has an area of 274,625.

The sum and the differences of two cubes, for example with side length 65 and 64, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 65, b = 64 and the equivalence we get:
   (65)³ = 129 x (65² – 65 × 64 + 64²) – 64³ = 129 x (4225 – 4160 + 4096) – 262144 = 129 x 4161 – 262144 = 274,625
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 65, b = 64 and the equivalence we get:
   (65)³ = (65² + 65 × 64 + 64²) + 64³ = 4225 + 4160 + 4096 + 262144 = 274,625

As follows from (1), 65 cubed can be calculated from 64 cubed and 65 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(65)³ = (2 × 65 – 1) × (65² – 65 + 1) – (64)³ = 129 × (4225 – 64) – 262144 = 129 × 4161 – 262144 = 274,625

Using the second formula 65 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(65)³ = 64³ + 3 × 65² – 3 × 65 + 1 = 262144 + 3 × 4225 – 3 × 65 + 1 = 262144 + 12675 – 195 + 1 = 274,625

If you want to calculate the cube of any number, not only integers like 65, you can use our calculator above.

Just enter your number; nothing else to be done.

A cube similar to 65 is, for example: cube of 67.


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 65.

Table

Sixty-Five Cubed

You now know everything about the cube 65 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

65 cubed is equivalent to 274,625.

If you were searching for what is 65 cubed in math or if you typed whats 65 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube65, and 65 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 65 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

65 cubed = 65 x 65 x 65 = (65)³ = 65 to the 3rd power = 274,625.

The exponentiation form is mostly used to denote 65 cube.

If this article about the cube of 65 has helped you then please share it by means of the social buttons.

And should you want to leave a comment related to 65 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 65 cubed.

– Article written by Mark, last updated on November 26th, 2023