740 Cubed

740 cubed, (740)³, is the number you get when multiplying 740 times 740 times 740.

It can also be looked at as exponentiation involving the base 740 and the exponent 3.

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

The cube of 740 is a perfect cube because the number is the product of the three equal integers 740.

It can be written as 740 × 740 × 740 or in exponential form.

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

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(740)³ = 405,224,000
740 × 740 × 740 = 405,224,000
The inverse operation of cubing 740 is extracting the cube root of 740, explained here.

In the next section we elaborate on the cube 740.

What is 740 Cubed?

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

Hence, a cube with side length 740 has an area of 405,224,000.

The sum and the differences of two cubes, for example with side length 740 and 739, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 740, b = 739 and the equivalence we get:
   (740)³ = 1479 x (740² – 740 × 739 + 739²) – 739³ = 1479 x (547600 – 546860 + 546121) – 403583419 = 1479 x 546861 – 403583419 = 405,224,000
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 740, b = 739 and the equivalence we get:
   (740)³ = (740² + 740 × 739 + 739²) + 739³ = 547600 + 546860 + 546121 + 403583419 = 405,224,000

As follows from (1), 740 cubed can be calculated from 739 cubed and 740 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(740)³ = (2 × 740 – 1) × (740² – 740 + 1) – (739)³ = 1479 × (547600 – 739) – 403583419 = 1479 × 546861 – 403583419 = 405,224,000

Using the second formula 740 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(740)³ = 739³ + 3 × 740² – 3 × 740 + 1 = 403583419 + 3 × 547600 – 3 × 740 + 1 = 403583419 + 1642800 – 2220 + 1 = 405,224,000

If you want to calculate the cube of any number, not only integers like 740, you can use our calculator above.

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A cube similar to 740 is, for example: cube of 742.


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The following table contains the cubes of numbers close to 740.

Table

Seven Hundred Forty Cubed

You now know everything about the cube 740 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

740 cubed is equivalent to 405,224,000.

If you were searching for what is 740 cubed in math or if you typed whats 740 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube740, and 740 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 740 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

740 cubed = 740 x 740 x 740 = (740)³ = 740 to the 3rd power = 405,224,000.

The exponentiation form is mostly used to denote 740 cube.

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