56 Cubed

56 cubed, (56)³, is the number you get when multiplying 56 times 56 times 56.

It can also be looked at as exponentiation involving the base 56 and the exponent 3.

The term is usually pronounced 3rd power of fifty-six or fifty-six cubed.

The cube of 56 is a perfect cube because the number is the product of the three equal integers 56.

It can be written as 56 × 56 × 56 or in exponential form.

Read on to learn everything about the number fifty-six cubed, including useful identities.

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(56)³ = 175,616
56 × 56 × 56 = 175,616
The inverse operation of cubing 56 is extracting the cube root of 56, explained here.

In the next section we elaborate on the cube 56.

What is 56 Cubed?

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

Hence, a cube with side length 56 has an area of 175,616.

The sum and the differences of two cubes, for example with side length 56 and 55, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 56, b = 55 and the equivalence we get:
   (56)³ = 111 x (56² – 56 × 55 + 55²) – 55³ = 111 x (3136 – 3080 + 3025) – 166375 = 111 x 3081 – 166375 = 175,616
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 56, b = 55 and the equivalence we get:
   (56)³ = (56² + 56 × 55 + 55²) + 55³ = 3136 + 3080 + 3025 + 166375 = 175,616

As follows from (1), 56 cubed can be calculated from 55 cubed and 56 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(56)³ = (2 × 56 – 1) × (56² – 56 + 1) – (55)³ = 111 × (3136 – 55) – 166375 = 111 × 3081 – 166375 = 175,616

Using the second formula 56 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(56)³ = 55³ + 3 × 56² – 3 × 56 + 1 = 166375 + 3 × 3136 – 3 × 56 + 1 = 166375 + 9408 – 168 + 1 = 175,616

If you want to calculate the cube of any number, not only integers like 56, you can use our calculator above.

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A cube similar to 56 is, for example: cube of 58.


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The following table contains the cubes of numbers close to 56.

Table

Fifty-Six Cubed

You now know everything about the cube 56 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

56 cubed is equivalent to 175,616.

If you were searching for what is 56 cubed in math or if you typed whats 56 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube56, and 56 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 56 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

56 cubed = 56 x 56 x 56 = (56)³ = 56 to the 3rd power = 175,616.

The exponentiation form is mostly used to denote 56 cube.

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