350 Cubed

350 cubed, 3503, is the number you get when multiplying 350 times 350 times 350.

It can also be looked at as exponentiation involving the base 350 and the exponent 3.

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

The cube of 350 is a perfect cube because the number is the product of the three equal integers 350.

It can be written as 350 x 350 x 350 or in exponential form.

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

3503 = 42875000
350 x 350 x 350 = 42875000

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On this Site You Can Learn all About Cubed Numbers! Click To TweetThe inverse operation of cubing 350 is extracting the cube root of 350, explained here.

In the next section we elaborate on the cube 350, and there you can also find our calculator.

What is 350 Cubed

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

Hence, a cube with side length 350 has an area of 42875000.

The sum and the differences of two cubes, for example with side length 350 and 349, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 350, b = 349 and the equivalence we get:
    3503 = 699 x (3502 – 350 × 349 + 3492) – 3493 = 699 x (122500 – 122150 + 121801) – 42508549 = 699 x 122151 – 42508549 = 42875000
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 350, b = 349 and the equivalence we get:
    3503 = (3502 + 350 × 349 + 3492) + 3493 = 122500 + 122150 + 121801 + 42508549 = 42875000

As follows from (1), 350 cubed can be calculated from 349 cubed and 350 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
3503 = (2 × 350 – 1) × (3502 – 350 + 1) – (349)3 = 699 × (122500 – 349) – 42508549 = 699 × 122151 – 42508549 = 42875000

Using the second formula 350 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
3503 = 3493 + 3 × 3502 – 3 × 350 + 1 = 42508549 + 3 × 122500 – 3 × 350 + 1 = 42508549 + 367500 – 1050 + 1 = 42875000

If you want to calculate the cube of any number, not only integers like 350, you can use our calculator below.

Just enter your number; the calculation is then done automatically.

Calculate Cubed Number

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Besides the cube of 350, more searched cubes on our site include:

350 Cubed

Three Hundred And Fifty Cubed

You now know everything about the cube 350 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 350 cubed is equivalent to 42875000.

If you were searching for what is 350 cubed in math or if you typed whats 350 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube350, and 350 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 350 cubed using the search form in the sidebar of this page.

To sum up,

350 cubed = 350x350x350 = 3503 = 350 to the 3rd power = 42875000.

The exponentiation form is mostly used to denote 350 cube.

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