# 996 Cubed

996 cubed, 9963, is the number you get when multiplying 996 times 996 times 996. It can also be looked at as exponentiation involving the base 996 and the exponent 3. The term is usually pronounced 3rd power of nine hundred and ninety-six or nine hundred and ninety-six cubed. The cube of 996 is a perfect cube because the number is the product of the three equal integers 996. It can be written as 996 x 996 x 996 or in exponential form. Read on to learn everything about the number nine hundred and ninety-six cubed, including useful identities.

9963 = 988047936
996 x 996 x 996 = 988047936

The inverse operation of cubing 996 is extracting the cube root of 996, explained here. In the next section we elaborate on the cube 996, and there you can also find our calculator.

## What is 996 Cubed

A cube is a three-dimensional shape with 6 equal square faces. Hence, a cube with side length 996 has an area of 988047936.

The sum and the differences of two cubes, for example with side length 996 and 995, can be calculated with the following formulas:

1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
With a = 996, b = 995 and the equivalence we get:
9963 = 1991 x (9962 – 996 × 995 + 9952) – 9953 = 1991 x (992016 – 991020 + 990025) – 985074875 = 1991 x 991021 – 985074875 = 988047936
2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
With a = 996, b = 995 and the equivalence we get:
9963 = (9962 + 996 × 995 + 9952) + 9953 = 992016 + 991020 + 990025 + 985074875 = 988047936

As follows from (1), 996 cubed can be calculated from 995 cubed and 996 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
9963 = (2 × 996 – 1) × (9962 – 996 + 1) – (995)3 = 1991 × (992016 – 995) – 985074875 = 1991 × 991021 – 985074875 = 988047936

Using the second formula 996 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
9963 = 9953 + 3 × 9962 – 3 × 996 + 1 = 985074875 + 3 × 992016 – 3 × 996 + 1 = 985074875 + 2976048 – 2988 + 1 = 988047936

If you want to calculate the cube of any number, not only integers like 996, you can use our calculator below. Just enter your number; the calculation is then done automatically.

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## Nine Hundred And Ninety-Six Cubed

You now know everything about the cube 996 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 996 cubed is equivalent to 988047936.

If you were searching for what is 996 cubed in math or if you typed whats 996 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube996, and 996 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 996 cubed using the search form in the sidebar of this page.

To sum up,

996 cubed = 996x996x996 = 9963 = 996 to the 3rd power = 988047936. The exponentiation form is mostly used to denote 996 cube.