140 Cubed

140 cubed, (140)³, is the number you get when multiplying 140 times 140 times 140.

It can also be looked at as exponentiation involving the base 140 and the exponent 3.

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

The cube of 140 is a perfect cube because the number is the product of the three equal integers 140.

It can be written as 140 × 140 × 140 or in exponential form.

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

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(140)³ = 2,744,000
140 × 140 × 140 = 2,744,000
The inverse operation of cubing 140 is extracting the cube root of 140, explained here.

In the next section we elaborate on the cube 140.

What is 140 Cubed?

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

Hence, a cube with side length 140 has an area of 2,744,000.

The sum and the differences of two cubes, for example with side length 140 and 139, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 140, b = 139 and the equivalence we get:
   (140)³ = 279 x (140² – 140 × 139 + 139²) – 139³ = 279 x (19600 – 19460 + 19321) – 2685619 = 279 x 19461 – 2685619 = 2,744,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 140, b = 139 and the equivalence we get:
   (140)³ = (140² + 140 × 139 + 139²) + 139³ = 19600 + 19460 + 19321 + 2685619 = 2,744,000

As follows from (1), 140 cubed can be calculated from 139 cubed and 140 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(140)³ = (2 × 140 – 1) × (140² – 140 + 1) – (139)³ = 279 × (19600 – 139) – 2685619 = 279 × 19461 – 2685619 = 2,744,000

Using the second formula 140 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(140)³ = 139³ + 3 × 140² – 3 × 140 + 1 = 2685619 + 3 × 19600 – 3 × 140 + 1 = 2685619 + 58800 – 420 + 1 = 2,744,000

If you want to calculate the cube of any number, not only integers like 140, you can use our calculator above.

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A cube similar to 140 is, for example: cube of 142.


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The following table contains the cubes of numbers close to 140.

Table

One Hundred Forty Cubed

You now know everything about the cube 140 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

140 cubed is equivalent to 2,744,000.

If you were searching for what is 140 cubed in math or if you typed whats 140 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube140, and 140 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 140 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

140 cubed = 140 x 140 x 140 = (140)³ = 140 to the 3rd power = 2,744,000.

The exponentiation form is mostly used to denote 140 cube.

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