Home » Cubed Numbers » -1729 Cubed

# -1729 Cubed

-1729 cubed, (-1729)3, is the number you get when multiplying -1729 times -1729 times -1729.

It can also be looked at as exponentiation involving the base -1729 and the exponent 3.

The term is usually pronounced 3rd power of negative one thousand seven hundred twenty-nine or negative one thousand seven hundred twenty-nine cubed.

The cube of -1729 is a perfect cube because the number is the product of the three equal integers -1729.

It can be written as -1729 × -1729 × -1729 or in exponential form.

Read on to learn everything about the number negative one thousand seven hundred twenty-nine cubed, including useful identities.

## Calculator

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(-1729)3 = -5,168,743,489
-1729 × -1729 × -1729 = -5,168,743,489

The inverse operation of cubing -1729 is extracting the cube root of -1729, explained here.

In the next section we elaborate on the cube -1729.

## What is -1729 Cubed?

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

Hence, a cube with side length -1729 has an area of -5,168,743,489.

The sum and the differences of two cubes, for example with side length -1729 and -1730, can be calculated with the following formulas:

1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = -1729, b = -1730 and the equivalence we get:
(-1729)3 = -3459 x (-17292 – -1729 × -1730 + -17302) – -17303 = -3459 x (2989441 – 2991170 + 2992900) – -5177717000 = -3459 x 2991171 – -5177717000 = -5,168,743,489
2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = -1729, b = -1730 and the equivalence we get:
(-1729)3 = (-17292 + -1729 × -1730 + -17302) + -17303 = 2989441 + 2991170 + 2992900 + -5177717000 = -5,168,743,489
As follows from (1), -1729 cubed can be calculated from -1730 cubed and -1729 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
(-1729)3 = (2 × -1729 – 1) × (-17292 – -1729 + 1) – (-1730)3 = -3459 × (2989441 – -1730) – -5177717000 = -3459 × 2991171 – -5177717000 = -5,168,743,489

Using the second formula -1729 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
(-1729)3 = -17303 + 3 × -17292 – 3 × -1729 + 1 = -5177717000 + 3 × 2989441 – 3 × -1729 + 1 = -5177717000 + 8968323 – -5187 + 1 = -5,168,743,489

If you want to calculate the cube of any number, not only integers like one thousand seven hundred twenty-nine, you can use our calculator above.

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A cube similar to -1729 is, for example: cube of -1731.

Click on the question which is of interest to you to see the collapsible content answer.

### How Do You Find the Cube of -1729?

The cube of -1729 is -1729 × -1729 × -1729 = -5,168,743,489.

### Is -1729 a Perfect Cube?

No, -1729 is the cube of the irrational number -12.0023143684.

### What is the Cube Number of -1729?

-1729 cubed equals -5,168,743,489.

### Is -1729 a Cube Number?

Yes, -1729 is the cube number of -12.0023143684.

### What is the Cube of -1729?

The cube of -1729 is -5,168,743,489.

### How Do You Write -1729 Cubed?

-1729 cubed can be written as (-1729)3 – a small 3 is placed to the top right of -1729 – or as (-1729)^3 .

### How Do You Find the Cubed Root of -1729?

To compute the 3rd root of -1729 use a calculator, or employ a numerical approximation such as the Newton–Raphson method.

If something remains unclear do not hesitate getting in touch with us.

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The following table contains the cubes of numbers close to -1729.

## Table

NumberCube
-1734-5,213,714,904
-1733-5,204,699,837
-1732-5,195,695,168
-1731-5,186,700,891
-1730-5,177,717,000
-1729-5,168,743,489
-1728-5,159,780,352
-1727-5,150,827,583
-1726-5,141,885,176
-1725-5,132,953,125
-1724-5,124,031,424

## Negative One Thousand Seven Hundred Twenty-Nine Cubed

You now know everything about the cube -1729 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities:

-1729 cubed is equivalent to -5,168,743,489.

If you were searching for what is -1729 cubed in math or if you typed whats -1729 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube-1729, and -1729 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 -1729 cubed using the search form in the sidebar of this page.

Ahead is the summary of our information.

## Conclusion

To sum up,

-1729 cubed = -1729 x -1729 x -1729 = (-1729)3 = -1729 to the 3rd power = -5,168,743,489.

The exponentiation form is mostly used to denote -1729 cube.

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