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80 Cubed

80 cubed, (80)3, is the number you get when multiplying 80 times 80 times 80.

It can also be looked at as exponentiation involving the base 80 and the exponent 3.

The term is usually pronounced 3rd power of eighty or eighty cubed.

The cube of 80 is a perfect cube because the number is the product of the three equal integers 80.

It can be written as 80 × 80 × 80 or in exponential form.

Read on to learn everything about the number eighty cubed, including useful identities.

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(80)3 = 512,000
80 × 80 × 80 = 512,000

The inverse operation of cubing 80 is extracting the cube root of 80, explained here.

In the next section we elaborate on the cube 80.

What is 80 Cubed?

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

Hence, a cube with side length 80 has an area of 512,000.

The sum and the differences of two cubes, for example with side length 80 and 79, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 80, b = 79 and the equivalence we get:
    (80)3 = 159 x (802 – 80 × 79 + 792) – 793 = 159 x (6400 – 6320 + 6241) – 493039 = 159 x 6321 – 493039 = 512,000
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 80, b = 79 and the equivalence we get:
    (80)3 = (802 + 80 × 79 + 792) + 793 = 6400 + 6320 + 6241 + 493039 = 512,000

As follows from (1), 80 cubed can be calculated from 79 cubed and 80 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(80)3 = (2 × 80 – 1) × (802 – 80 + 1) – (79)3 = 159 × (6400 – 79) – 493039 = 159 × 6321 – 493039 = 512,000

Using the second formula 80 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(80)3 = 793 + 3 × 802 – 3 × 80 + 1 = 493039 + 3 × 6400 – 3 × 80 + 1 = 493039 + 19200 – 240 + 1 = 512,000

If you want to calculate the cube of any number, not only integers like 80, you can use our calculator above.

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A cube similar to 80 is, for example: cube of 82.


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The following table contains the cubes of numbers close to 80.

Table

NumberCube
75421,875
76438,976
77456,533
78474,552
79493,039
80512,000
81531,441
82551,368
83571,787
84592,704
85614,125

Eighty Cubed

You now know everything about the cube 80 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

80 cubed is equivalent to 512,000.

If you were searching for what is 80 cubed in math or if you typed whats 80 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube80, and 80 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 80 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

80 cubed = 80 x 80 x 80 = (80)3 = 80 to the 3rd power = 512,000.

The exponentiation form is mostly used to denote 80 cube.

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