981 Cubed

981 cubed, 9813, is the number you get when multiplying 981 times 981 times 981. It can also be looked at as exponentiation involving the base 981 and the exponent 3. The term is usually pronounced 3rd power of nine hundred and eighty-one or nine hundred and eighty-one cubed. The cube of 981 is a perfect cube because the number is the product of the three equal integers 981. It can be written as 981 x 981 x 981 or in exponential form. Read on to learn everything about the number nine hundred and eighty-one cubed, including useful identities.

9813 = 944076141
981 x 981 x 981 = 944076141

The inverse operation of cubing 981 is extracting the cube root of 981, explained here. In the next section we elaborate on the cube 981, and there you can also find our calculator.

What is 981 Cubed

A cube is a three-dimensional shape with 6 equal square faces. Hence, a cube with side length 981 has an area of 944076141.

The sum and the differences of two cubes, for example with side length 981 and 980, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 981, b = 980 and the equivalence we get:
    9813 = 1961 x (9812 – 981 × 980 + 9802) – 9803 = 1961 x (962361 – 961380 + 960400) – 941192000 = 1961 x 961381 – 941192000 = 944076141
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 981, b = 980 and the equivalence we get:
    9813 = (9812 + 981 × 980 + 9802) + 9803 = 962361 + 961380 + 960400 + 941192000 = 944076141

As follows from (1), 981 cubed can be calculated from 980 cubed and 981 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
9813 = (2 × 981 – 1) × (9812 – 981 + 1) – (980)3 = 1961 × (962361 – 980) – 941192000 = 1961 × 961381 – 941192000 = 944076141

Using the second formula 981 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
9813 = 9803 + 3 × 9812 – 3 × 981 + 1 = 941192000 + 3 × 962361 – 3 × 981 + 1 = 941192000 + 2887083 – 2943 + 1 = 944076141

If you want to calculate the cube of any number, not only integers like 981, 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 981, more searched cubes on our site include:

981 Cubed

Nine Hundred And Eighty-One Cubed

You now know everything about the cube 981 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 981 cubed is equivalent to 944076141.

If you were searching for what is 981 cubed in math or if you typed whats 981 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube981, and 981 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 981 cubed using the search form in the sidebar of this page.

To sum up,

981 cubed = 981x981x981 = 9813 = 981 to the 3rd power = 944076141. The exponentiation form is mostly used to denote 981 cube.

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