998 Cubed


998 cubed, 9983, is the number you get when multiplying 998 times 998 times 998. It can also be looked at as exponentiation involving the base 998 and the exponent 3. The term is usually pronounced 3rd power of nine hundred and ninety-eight or nine hundred and ninety-eight cubed. The cube of 998 is a perfect cube because the number is the product of the three equal integers 998. It can be written as 998 x 998 x 998 or in exponential form. Read on to learn everything about the number nine hundred and ninety-eight cubed, including useful identities.

9983 = 994011992
998 x 998 x 998 = 994011992

The inverse operation of cubing 998 is extracting the cube root of 998, explained here. In the next section we elaborate on the cube 998, and there you can also find our calculator.

What is 998 Cubed

A cube is a three-dimensional shape with 6 equal square faces. Hence, a cube with side length 998 has an area of 994011992.

The sum and the differences of two cubes, for example with side length 998 and 997, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 998, b = 997 and the equivalence we get:
    9983 = 1995 x (9982 – 998 × 997 + 9972) – 9973 = 1995 x (996004 – 995006 + 994009) – 991026973 = 1995 x 995007 – 991026973 = 994011992
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 998, b = 997 and the equivalence we get:
    9983 = (9982 + 998 × 997 + 9972) + 9973 = 996004 + 995006 + 994009 + 991026973 = 994011992

As follows from (1), 998 cubed can be calculated from 997 cubed and 998 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
9983 = (2 × 998 – 1) × (9982 – 998 + 1) – (997)3 = 1995 × (996004 – 997) – 991026973 = 1995 × 995007 – 991026973 = 994011992

Using the second formula 998 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
9983 = 9973 + 3 × 9982 – 3 × 998 + 1 = 991026973 + 3 × 996004 – 3 × 998 + 1 = 991026973 + 2988012 – 2994 + 1 = 994011992

If you want to calculate the cube of any number, not only integers like 998, you can use our calculator below. Just enter your number; the calculation is then done automatically.

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If this tool has been beneficial to you, then bookmark it right now. Besides the cube of 998, more searched cubes on our site include:

998 Cubed

Nine Hundred And Ninety-Eight Cubed

You now know everything about the cube 998 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 998 cubed is equivalent to 994011992.

If you were searching for what is 998 cubed in math or if you typed whats 998 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube998, and 998 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 998 cubed using the search form in the sidebar of this page.

To sum up,

998 cubed = 998x998x998 = 9983 = 998 to the 3rd power = 994011992. The exponentiation form is mostly used to denote 998 cube.

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