304 Cubed

304 cubed, (304)³, is the number you get when multiplying 304 times 304 times 304.

It can also be looked at as exponentiation involving the base 304 and the exponent 3.

The term is usually pronounced 3rd power of three hundred four or three hundred four cubed.

The cube of 304 is a perfect cube because the number is the product of the three equal integers 304.

It can be written as 304 × 304 × 304 or in exponential form.

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

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(304)³ = 28,094,464
304 × 304 × 304 = 28,094,464
The inverse operation of cubing 304 is extracting the cube root of 304, explained here.

In the next section we elaborate on the cube 304.

What is 304 Cubed?

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

Hence, a cube with side length 304 has an area of 28,094,464.

The sum and the differences of two cubes, for example with side length 304 and 303, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 304, b = 303 and the equivalence we get:
   (304)³ = 607 x (304² – 304 × 303 + 303²) – 303³ = 607 x (92416 – 92112 + 91809) – 27818127 = 607 x 92113 – 27818127 = 28,094,464
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 304, b = 303 and the equivalence we get:
   (304)³ = (304² + 304 × 303 + 303²) + 303³ = 92416 + 92112 + 91809 + 27818127 = 28,094,464

As follows from (1), 304 cubed can be calculated from 303 cubed and 304 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(304)³ = (2 × 304 – 1) × (304² – 304 + 1) – (303)³ = 607 × (92416 – 303) – 27818127 = 607 × 92113 – 27818127 = 28,094,464

Using the second formula 304 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(304)³ = 303³ + 3 × 304² – 3 × 304 + 1 = 27818127 + 3 × 92416 – 3 × 304 + 1 = 27818127 + 277248 – 912 + 1 = 28,094,464

If you want to calculate the cube of any number, not only integers like 304, you can use our calculator above.

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A cube similar to 304 is, for example: cube of 306.


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The following table contains the cubes of numbers close to 304.

Table

Three Hundred Four Cubed

You now know everything about the cube 304 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

304 cubed is equivalent to 28,094,464.

If you were searching for what is 304 cubed in math or if you typed whats 304 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube304, and 304 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 304 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

304 cubed = 304 x 304 x 304 = (304)³ = 304 to the 3rd power = 28,094,464.

The exponentiation form is mostly used to denote 304 cube.

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