Verified answer

When you see this equation; you should know right the way that the answer of y will be somehow have some never ending decimal place.

The reason is that as you should know 10 x 10 x 10 = 1000

and 11 x 11 x 11 = 1331

so you value of y will be somewhere in between 10 and 11.

and 1004 - 1000 = 4 only a bit more that 1000 which also means a bit more that 10.

The answer of this

y^3 = 1004

y = 1004^(1/3)

y = 10.0133......

y^3=1004

y = cube root of 1004

If you want an accurate answer to this, you can use Newton's method. Rewrite it as below:

y^3 - 1004 = 0

all you want is the root of the equation.

divide 1004 by itself 3 times and thats what y equals.

use a calculator

y = 1004^(1/3)