982 Cubed

982 cubed, 9823, is the number you get when multiplying 982 times 982 times 982. It can also be looked at as exponentiation involving the base 982 and the exponent 3. The term is usually pronounced 3rd power of nine hundred and eighty-two or nine hundred and eighty-two cubed. The cube of 982 is a perfect cube because the number is the product of the three equal integers 982. It can be written as 982 x 982 x 982 or in exponential form. Read on to learn everything about the number nine hundred and eighty-two cubed, including useful identities.

9823 = 946966168
982 x 982 x 982 = 946966168

The inverse operation of cubing 982 is extracting the cube root of 982, explained here. In the next section we elaborate on the cube 982, and there you can also find our calculator.

What is 982 Cubed

A cube is a three-dimensional shape with 6 equal square faces. Hence, a cube with side length 982 has an area of 946966168.

The sum and the differences of two cubes, for example with side length 982 and 981, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 982, b = 981 and the equivalence we get:
    9823 = 1963 x (9822 – 982 × 981 + 9812) – 9813 = 1963 x (964324 – 963342 + 962361) – 944076141 = 1963 x 963343 – 944076141 = 946966168
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 982, b = 981 and the equivalence we get:
    9823 = (9822 + 982 × 981 + 9812) + 9813 = 964324 + 963342 + 962361 + 944076141 = 946966168

As follows from (1), 982 cubed can be calculated from 981 cubed and 982 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
9823 = (2 × 982 – 1) × (9822 – 982 + 1) – (981)3 = 1963 × (964324 – 981) – 944076141 = 1963 × 963343 – 944076141 = 946966168

Using the second formula 982 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
9823 = 9813 + 3 × 9822 – 3 × 982 + 1 = 944076141 + 3 × 964324 – 3 × 982 + 1 = 944076141 + 2892972 – 2946 + 1 = 946966168

If you want to calculate the cube of any number, not only integers like 982, you can use our calculator below. Just enter your number; the calculation is then done automatically.

Calculate Cubed Number

If this tool has been beneficial to you, then bookmark it right now. Besides the cube of 982, more searched cubes on our site include:

982 Cubed

Nine Hundred And Eighty-Two Cubed

You now know everything about the cube 982 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 982 cubed is equivalent to 946966168.

If you were searching for what is 982 cubed in math or if you typed whats 982 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube982, and 982 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 982 cubed using the search form in the sidebar of this page.

To sum up,

982 cubed = 982x982x982 = 9823 = 982 to the 3rd power = 946966168. The exponentiation form is mostly used to denote 982 cube.

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