984 Cubed

984 cubed, 9843, is the number you get when multiplying 984 times 984 times 984. It can also be looked at as exponentiation involving the base 984 and the exponent 3. The term is usually pronounced 3rd power of nine hundred and eighty-four or nine hundred and eighty-four cubed. The cube of 984 is a perfect cube because the number is the product of the three equal integers 984. It can be written as 984 x 984 x 984 or in exponential form. Read on to learn everything about the number nine hundred and eighty-four cubed, including useful identities.

9843 = 952763904
984 x 984 x 984 = 952763904

The inverse operation of cubing 984 is extracting the cube root of 984, explained here. In the next section we elaborate on the cube 984, and there you can also find our calculator.

What is 984 Cubed

A cube is a three-dimensional shape with 6 equal square faces. Hence, a cube with side length 984 has an area of 952763904.

The sum and the differences of two cubes, for example with side length 984 and 983, can be calculated with the following formulas:

1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 984, b = 983 and the equivalence we get:
9843 = 1967 x (9842 – 984 × 983 + 9832) – 9833 = 1967 x (968256 – 967272 + 966289) – 949862087 = 1967 x 967273 – 949862087 = 952763904
2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 984, b = 983 and the equivalence we get:
9843 = (9842 + 984 × 983 + 9832) + 9833 = 968256 + 967272 + 966289 + 949862087 = 952763904

As follows from (1), 984 cubed can be calculated from 983 cubed and 984 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
9843 = (2 × 984 – 1) × (9842 – 984 + 1) – (983)3 = 1967 × (968256 – 983) – 949862087 = 1967 × 967273 – 949862087 = 952763904

Using the second formula 984 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
9843 = 9833 + 3 × 9842 – 3 × 984 + 1 = 949862087 + 3 × 968256 – 3 × 984 + 1 = 949862087 + 2904768 – 2952 + 1 = 952763904

If you want to calculate the cube of any number, not only integers like 984, 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 984, more searched cubes on our site include:

Nine Hundred And Eighty-Four Cubed

You now know everything about the cube 984 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 984 cubed is equivalent to 952763904.

If you were searching for what is 984 cubed in math or if you typed whats 984 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube984, and 984 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 984 cubed using the search form in the sidebar of this page.

To sum up,

984 cubed = 984x984x984 = 9843 = 984 to the 3rd power = 952763904. The exponentiation form is mostly used to denote 984 cube.