125 Cubed

125 cubed, 1253, is the number you get when multiplying 125 times 125 times 125. It can also be looked at as exponentiation involving the base 125 and the exponent 3. The term is usually pronounced 3rd power of hundred and twenty-five or hundred and twenty-five cubed. The cube of 125 is a perfect cube because the number is the product of the three equal integers 125. It can be written as 125 x 125 x 125 or in exponential form. Read on to learn everything about the number hundred and twenty-five cubed, including useful identities.

1253 = 1953125
125 x 125 x 125 = 1953125

The inverse operation of cubing 125 is extracting the cube root of 125, explained here. In the next section we elaborate on the cube 125, and there you can also find our calculator.

What is 125 Cubed

A cube is a three-dimensional shape with 6 equal square faces. Hence, a cube with side length 125 has an area of 1953125.

The sum and the differences of two cubes, for example with side length 125 and 124, can be calculated with the following formulas:

  1. a3 + b3 = (a + b) × (a2 – ab + b2) ⇔ a3 = (a + b) × (a2 – ab + b2) – b3
    With a = 125, b = 124 and the equivalence we get:
    1253 = 249 x (1252 – 125 × 124 + 1242) – 1243 = 249 x (15625 – 15500 + 15376) – 1906624 = 249 x 15501 – 1906624 = 1953125
  2. a3 – b3 = (a – b) × (a2 + ab + b2) ⇔ a3 = (a – b) × (a2 + ab + b2) + b3
    With a = 125, b = 124 and the equivalence we get:
    1253 = (1252 + 125 × 124 + 1242) + 1243 = 15625 + 15500 + 15376 + 1906624 = 1953125

As follows from (1), 125 cubed can be calculated from 124 cubed and 125 squared using the identity:

n3 = (2 × n – 1) × (n2 -n + 1) – (n-1)3
1253 = (2 × 125 – 1) × (1252 – 125 + 1) – (124)3 = 249 × (15625 – 124) – 1906624 = 249 × 15501 – 1906624 = 1953125

Using the second formula 125 cubed can be also be computed with this identity:

n3 = (n-1)3 + 3n2 -3n + 1
1253 = 1243 + 3 × 1252 – 3 × 125 + 1 = 1906624 + 3 × 15625 – 3 × 125 + 1 = 1906624 + 46875 – 375 + 1 = 1953125

If you want to calculate the cube of any number, not only integers like 125, 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 125, more searched cubes on our site include:

125 Cubed

Hundred And Twenty-Five Cubed

You now know everything about the cube 125 and calculating it by means of multiplication, exponentiation, sum and difference formulas and using identities: 125 cubed is equivalent to 1953125.

If you were searching for what is 125 cubed in math or if you typed whats 125 cubed in the search engine you now have all the answers, too.

The same goes for searches like cube125, and 125 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 125 cubed using the search form in the sidebar of this page.

To sum up,

125 cubed = 125x125x125 = 1253 = 125 to the 3rd power = 1953125. The exponentiation form is mostly used to denote 125 cube.

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