216 Cubed

216 cubed, (216)³, is the number you get when multiplying 216 times 216 times 216.

It can also be looked at as exponentiation involving the base 216 and the exponent 3.

The term is usually pronounced 3rd power of two hundred sixteen or two hundred sixteen cubed.

The cube of 216 is a perfect cube because the number is the product of the three equal integers 216.

It can be written as 216 × 216 × 216 or in exponential form.

Read on to learn everything about the number two hundred sixteen cubed, including useful identities.

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(216)³ = 10,077,696
216 × 216 × 216 = 10,077,696
The inverse operation of cubing 216 is extracting the cube root of 216, explained here.

In the next section we elaborate on the cube 216.

What is 216 Cubed?

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

Hence, a cube with side length 216 has an area of 10,077,696.

The sum and the differences of two cubes, for example with side length 216 and 215, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 216, b = 215 and the equivalence we get:
   (216)³ = 431 x (216² – 216 × 215 + 215²) – 215³ = 431 x (46656 – 46440 + 46225) – 9938375 = 431 x 46441 – 9938375 = 10,077,696
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 216, b = 215 and the equivalence we get:
   (216)³ = (216² + 216 × 215 + 215²) + 215³ = 46656 + 46440 + 46225 + 9938375 = 10,077,696

As follows from (1), 216 cubed can be calculated from 215 cubed and 216 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(216)³ = (2 × 216 – 1) × (216² – 216 + 1) – (215)³ = 431 × (46656 – 215) – 9938375 = 431 × 46441 – 9938375 = 10,077,696

Using the second formula 216 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(216)³ = 215³ + 3 × 216² – 3 × 216 + 1 = 9938375 + 3 × 46656 – 3 × 216 + 1 = 9938375 + 139968 – 648 + 1 = 10,077,696

If you want to calculate the cube of any number, not only integers like 216, you can use our calculator above.

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A cube similar to 216 is, for example: cube of 218.


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The following table contains the cubes of numbers close to 216.

Table

Two Hundred Sixteen Cubed

You now know everything about the cube 216 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

216 cubed is equivalent to 10,077,696.

If you were searching for what is 216 cubed in math or if you typed whats 216 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube216, and 216 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 216 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

216 cubed = 216 x 216 x 216 = (216)³ = 216 to the 3rd power = 10,077,696.

The exponentiation form is mostly used to denote 216 cube.

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