931 Cubed

931 cubed, (931)³, is the number you get when multiplying 931 times 931 times 931.

It can also be looked at as exponentiation involving the base 931 and the exponent 3.

The term is usually pronounced 3rd power of nine hundred thirty-one or nine hundred thirty-one cubed.

The cube of 931 is a perfect cube because the number is the product of the three equal integers 931.

It can be written as 931 × 931 × 931 or in exponential form.

Read on to learn everything about the number nine hundred thirty-one cubed, including useful identities.

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(931)³ = 806,954,491
931 × 931 × 931 = 806,954,491
The inverse operation of cubing 931 is extracting the cube root of 931, explained here.

In the next section we elaborate on the cube 931.

What is 931 Cubed?

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

Hence, a cube with side length 931 has an area of 806,954,491.

The sum and the differences of two cubes, for example with side length 931 and 930, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 931, b = 930 and the equivalence we get:
   (931)³ = 1861 x (931² – 931 × 930 + 930²) – 930³ = 1861 x (866761 – 865830 + 864900) – 804357000 = 1861 x 865831 – 804357000 = 806,954,491
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 931, b = 930 and the equivalence we get:
   (931)³ = (931² + 931 × 930 + 930²) + 930³ = 866761 + 865830 + 864900 + 804357000 = 806,954,491

As follows from (1), 931 cubed can be calculated from 930 cubed and 931 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(931)³ = (2 × 931 – 1) × (931² – 931 + 1) – (930)³ = 1861 × (866761 – 930) – 804357000 = 1861 × 865831 – 804357000 = 806,954,491

Using the second formula 931 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(931)³ = 930³ + 3 × 931² – 3 × 931 + 1 = 804357000 + 3 × 866761 – 3 × 931 + 1 = 804357000 + 2600283 – 2793 + 1 = 806,954,491

If you want to calculate the cube of any number, not only integers like 931, you can use our calculator above.

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A cube similar to 931 is, for example: cube of 933.


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The following table contains the cubes of numbers close to 931.

Table

Nine Hundred Thirty-One Cubed

You now know everything about the cube 931 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

931 cubed is equivalent to 806,954,491.

If you were searching for what is 931 cubed in math or if you typed whats 931 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube931, and 931 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 931 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

931 cubed = 931 x 931 x 931 = (931)³ = 931 to the 3rd power = 806,954,491.

The exponentiation form is mostly used to denote 931 cube.

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