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176 Cubed

176 cubed, (176)3, is the number you get when multiplying 176 times 176 times 176.

It can also be looked at as exponentiation involving the base 176 and the exponent 3.

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

The cube of 176 is a perfect cube because the number is the product of the three equal integers 176.

It can be written as 176 × 176 × 176 or in exponential form.

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

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(176)3 = 5,451,776
176 × 176 × 176 = 5,451,776

The inverse operation of cubing 176 is extracting the cube root of 176, explained here.

In the next section we elaborate on the cube 176.

What is 176 Cubed?

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

Hence, a cube with side length 176 has an area of 5,451,776.

The sum and the differences of two cubes, for example with side length 176 and 175, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 176, b = 175 and the equivalence we get:
    (176)3 = 351 x (1762 – 176 × 175 + 1752) – 1753 = 351 x (30976 – 30800 + 30625) – 5359375 = 351 x 30801 – 5359375 = 5,451,776
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 176, b = 175 and the equivalence we get:
    (176)3 = (1762 + 176 × 175 + 1752) + 1753 = 30976 + 30800 + 30625 + 5359375 = 5,451,776

As follows from (1), 176 cubed can be calculated from 175 cubed and 176 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(176)3 = (2 × 176 – 1) × (1762 – 176 + 1) – (175)3 = 351 × (30976 – 175) – 5359375 = 351 × 30801 – 5359375 = 5,451,776

Using the second formula 176 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(176)3 = 1753 + 3 × 1762 – 3 × 176 + 1 = 5359375 + 3 × 30976 – 3 × 176 + 1 = 5359375 + 92928 – 528 + 1 = 5,451,776

If you want to calculate the cube of any number, not only integers like 176, you can use our calculator above.

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A cube similar to 176 is, for example: cube of 178.


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The following table contains the cubes of numbers close to 176.

Table

NumberCube
1715,000,211
1725,088,448
1735,177,717
1745,268,024
1755,359,375
1765,451,776
1775,545,233
1785,639,752
1795,735,339
1805,832,000
1815,929,741

One Hundred Seventy-Six Cubed

You now know everything about the cube 176 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

176 cubed is equivalent to 5,451,776.

If you were searching for what is 176 cubed in math or if you typed whats 176 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube176, and 176 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 176 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

176 cubed = 176 x 176 x 176 = (176)3 = 176 to the 3rd power = 5,451,776.

The exponentiation form is mostly used to denote 176 cube.

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