710 Cubed

710 cubed, (710)³, is the number you get when multiplying 710 times 710 times 710.

It can also be looked at as exponentiation involving the base 710 and the exponent 3.

The term is usually pronounced 3rd power of seven hundred ten or seven hundred ten cubed.

The cube of 710 is a perfect cube because the number is the product of the three equal integers 710.

It can be written as 710 × 710 × 710 or in exponential form.

Read on to learn everything about the number seven hundred ten cubed, including useful identities.

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(710)³ = 357,911,000
710 × 710 × 710 = 357,911,000
The inverse operation of cubing 710 is extracting the cube root of 710, explained here.

In the next section we elaborate on the cube 710.

What is 710 Cubed?

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

Hence, a cube with side length 710 has an area of 357,911,000.

The sum and the differences of two cubes, for example with side length 710 and 709, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 710, b = 709 and the equivalence we get:
   (710)³ = 1419 x (710² – 710 × 709 + 709²) – 709³ = 1419 x (504100 – 503390 + 502681) – 356400829 = 1419 x 503391 – 356400829 = 357,911,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 710, b = 709 and the equivalence we get:
   (710)³ = (710² + 710 × 709 + 709²) + 709³ = 504100 + 503390 + 502681 + 356400829 = 357,911,000

As follows from (1), 710 cubed can be calculated from 709 cubed and 710 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(710)³ = (2 × 710 – 1) × (710² – 710 + 1) – (709)³ = 1419 × (504100 – 709) – 356400829 = 1419 × 503391 – 356400829 = 357,911,000

Using the second formula 710 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(710)³ = 709³ + 3 × 710² – 3 × 710 + 1 = 356400829 + 3 × 504100 – 3 × 710 + 1 = 356400829 + 1512300 – 2130 + 1 = 357,911,000

If you want to calculate the cube of any number, not only integers like 710, you can use our calculator above.

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A cube similar to 710 is, for example: cube of 712.


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The following table contains the cubes of numbers close to 710.

Table

Seven Hundred Ten Cubed

You now know everything about the cube 710 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

710 cubed is equivalent to 357,911,000.

If you were searching for what is 710 cubed in math or if you typed whats 710 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube710, and 710 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 710 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

710 cubed = 710 x 710 x 710 = (710)³ = 710 to the 3rd power = 357,911,000.

The exponentiation form is mostly used to denote 710 cube.

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