985 Cubed

985 cubed, (985)³, is the number you get when multiplying 985 times 985 times 985.

It can also be looked at as exponentiation involving the base 985 and the exponent 3.

The term is usually pronounced 3rd power of nine hundred eighty-five or nine hundred eighty-five cubed.

The cube of 985 is a perfect cube because the number is the product of the three equal integers 985.

It can be written as 985 × 985 × 985 or in exponential form.

Read on to learn everything about the number nine hundred eighty-five cubed, including useful identities.

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(985)³ = 955,671,625
985 × 985 × 985 = 955,671,625
The inverse operation of cubing 985 is extracting the cube root of 985, explained here.

In the next section we elaborate on the cube 985.

What is 985 Cubed?

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

Hence, a cube with side length 985 has an area of 955,671,625.

The sum and the differences of two cubes, for example with side length 985 and 984, can be calculated with the following formulas:

1. a³ + b³ = (a + b) × (a² – ab + b²) ⇔ a³ = (a + b) × (a² – ab + b²) – b³
   With a = 985, b = 984 and the equivalence we get:
   (985)³ = 1969 x (985² – 985 × 984 + 984²) – 984³ = 1969 x (970225 – 969240 + 968256) – 952763904 = 1969 x 969241 – 952763904 = 955,671,625
2. a³ – b³ = (a – b) × (a² + ab + b²) ⇔ a³ = (a – b) × (a² + ab + b²) + b³
   With a = 985, b = 984 and the equivalence we get:
   (985)³ = (985² + 985 × 984 + 984²) + 984³ = 970225 + 969240 + 968256 + 952763904 = 955,671,625

As follows from (1), 985 cubed can be calculated from 984 cubed and 985 squared using the identity:

n³ = (2 × n – 1) × (n² -n + 1) – (n-1)³
(985)³ = (2 × 985 – 1) × (985² – 985 + 1) – (984)³ = 1969 × (970225 – 984) – 952763904 = 1969 × 969241 – 952763904 = 955,671,625

Using the second formula 985 cubed can be also be computed with this identity:

n³ = (n-1)³ + 3n² -3n + 1
(985)³ = 984³ + 3 × 985² – 3 × 985 + 1 = 952763904 + 3 × 970225 – 3 × 985 + 1 = 952763904 + 2910675 – 2955 + 1 = 955,671,625

If you want to calculate the cube of any number, not only integers like 985, you can use our calculator above.

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A cube similar to 985 is, for example: cube of 987.


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The following table contains the cubes of numbers close to 985.

Table

Nine Hundred Eighty-Five Cubed

You now know everything about the cube 985 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

985 cubed is equivalent to 955,671,625.

If you were searching for what is 985 cubed in math or if you typed whats 985 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube985, and 985 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 985 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

985 cubed = 985 x 985 x 985 = (985)³ = 985 to the 3rd power = 955,671,625.

The exponentiation form is mostly used to denote 985 cube.

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