940 Cubed

940 cubed, (940)³, is the number you get when multiplying 940 times 940 times 940.

It can also be looked at as exponentiation involving the base 940 and the exponent 3.

The term is usually pronounced 3rd power of nine hundred forty or nine hundred forty cubed.

The cube of 940 is a perfect cube because the number is the product of the three equal integers 940.

It can be written as 940 × 940 × 940 or in exponential form.

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

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(940)³ = 830,584,000
940 × 940 × 940 = 830,584,000
The inverse operation of cubing 940 is extracting the cube root of 940, explained here.

In the next section we elaborate on the cube 940.

What is 940 Cubed?

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

Hence, a cube with side length 940 has an area of 830,584,000.

The sum and the differences of two cubes, for example with side length 940 and 939, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 940, b = 939 and the equivalence we get:
   (940)³ = 1879 x (940² – 940 × 939 + 939²) – 939³ = 1879 x (883600 – 882660 + 881721) – 827936019 = 1879 x 882661 – 827936019 = 830,584,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 940, b = 939 and the equivalence we get:
   (940)³ = (940² + 940 × 939 + 939²) + 939³ = 883600 + 882660 + 881721 + 827936019 = 830,584,000

As follows from (1), 940 cubed can be calculated from 939 cubed and 940 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(940)³ = (2 × 940 – 1) × (940² – 940 + 1) – (939)³ = 1879 × (883600 – 939) – 827936019 = 1879 × 882661 – 827936019 = 830,584,000

Using the second formula 940 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(940)³ = 939³ + 3 × 940² – 3 × 940 + 1 = 827936019 + 3 × 883600 – 3 × 940 + 1 = 827936019 + 2650800 – 2820 + 1 = 830,584,000

If you want to calculate the cube of any number, not only integers like 940, you can use our calculator above.

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A cube similar to 940 is, for example: cube of 942.


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The following table contains the cubes of numbers close to 940.

Table

Nine Hundred Forty Cubed

You now know everything about the cube 940 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

940 cubed is equivalent to 830,584,000.

If you were searching for what is 940 cubed in math or if you typed whats 940 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube940, and 940 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 940 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

940 cubed = 940 x 940 x 940 = (940)³ = 940 to the 3rd power = 830,584,000.

The exponentiation form is mostly used to denote 940 cube.

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