360 Cubed

360 cubed, (360)³, is the number you get when multiplying 360 times 360 times 360.

It can also be looked at as exponentiation involving the base 360 and the exponent 3.

The term is usually pronounced 3rd power of three hundred sixty or three hundred sixty cubed.

The cube of 360 is a perfect cube because the number is the product of the three equal integers 360.

It can be written as 360 × 360 × 360 or in exponential form.

Read on to learn everything about the number three hundred sixty cubed, including useful identities.

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(360)³ = 46,656,000
360 × 360 × 360 = 46,656,000
The inverse operation of cubing 360 is extracting the cube root of 360, explained here.

In the next section we elaborate on the cube 360.

What is 360 Cubed?

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

Hence, a cube with side length 360 has an area of 46,656,000.

The sum and the differences of two cubes, for example with side length 360 and 359, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 360, b = 359 and the equivalence we get:
   (360)³ = 719 x (360² – 360 × 359 + 359²) – 359³ = 719 x (129600 – 129240 + 128881) – 46268279 = 719 x 129241 – 46268279 = 46,656,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 360, b = 359 and the equivalence we get:
   (360)³ = (360² + 360 × 359 + 359²) + 359³ = 129600 + 129240 + 128881 + 46268279 = 46,656,000

As follows from (1), 360 cubed can be calculated from 359 cubed and 360 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(360)³ = (2 × 360 – 1) × (360² – 360 + 1) – (359)³ = 719 × (129600 – 359) – 46268279 = 719 × 129241 – 46268279 = 46,656,000

Using the second formula 360 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(360)³ = 359³ + 3 × 360² – 3 × 360 + 1 = 46268279 + 3 × 129600 – 3 × 360 + 1 = 46268279 + 388800 – 1080 + 1 = 46,656,000

If you want to calculate the cube of any number, not only integers like 360, you can use our calculator above.

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A cube similar to 360 is, for example: cube of 362.


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The following table contains the cubes of numbers close to 360.

Table

Three Hundred Sixty Cubed

You now know everything about the cube 360 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

360 cubed is equivalent to 46,656,000.

If you were searching for what is 360 cubed in math or if you typed whats 360 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube360, and 360 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 360 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

360 cubed = 360 x 360 x 360 = (360)³ = 360 to the 3rd power = 46,656,000.

The exponentiation form is mostly used to denote 360 cube.

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