371 Cubed

371 cubed, (371)³, is the number you get when multiplying 371 times 371 times 371.

It can also be looked at as exponentiation involving the base 371 and the exponent 3.

The term is usually pronounced 3rd power of three hundred seventy-one or three hundred seventy-one cubed.

The cube of 371 is a perfect cube because the number is the product of the three equal integers 371.

It can be written as 371 × 371 × 371 or in exponential form.

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

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(371)³ = 51,064,811
371 × 371 × 371 = 51,064,811
The inverse operation of cubing 371 is extracting the cube root of 371, explained here.

In the next section we elaborate on the cube 371.

What is 371 Cubed?

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

Hence, a cube with side length 371 has an area of 51,064,811.

The sum and the differences of two cubes, for example with side length 371 and 370, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 371, b = 370 and the equivalence we get:
   (371)³ = 741 x (371² – 371 × 370 + 370²) – 370³ = 741 x (137641 – 137270 + 136900) – 50653000 = 741 x 137271 – 50653000 = 51,064,811
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 371, b = 370 and the equivalence we get:
   (371)³ = (371² + 371 × 370 + 370²) + 370³ = 137641 + 137270 + 136900 + 50653000 = 51,064,811

As follows from (1), 371 cubed can be calculated from 370 cubed and 371 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(371)³ = (2 × 371 – 1) × (371² – 371 + 1) – (370)³ = 741 × (137641 – 370) – 50653000 = 741 × 137271 – 50653000 = 51,064,811

Using the second formula 371 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(371)³ = 370³ + 3 × 371² – 3 × 371 + 1 = 50653000 + 3 × 137641 – 3 × 371 + 1 = 50653000 + 412923 – 1113 + 1 = 51,064,811

If you want to calculate the cube of any number, not only integers like 371, you can use our calculator above.

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A cube similar to 371 is, for example: cube of 373.


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The following table contains the cubes of numbers close to 371.

Table

Three Hundred Seventy-One Cubed

You now know everything about the cube 371 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

371 cubed is equivalent to 51,064,811.

If you were searching for what is 371 cubed in math or if you typed whats 371 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube371, and 371 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 371 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

371 cubed = 371 x 371 x 371 = (371)³ = 371 to the 3rd power = 51,064,811.

The exponentiation form is mostly used to denote 371 cube.

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