ANSWER
n = 2.67
EXPLANATION
We have to solve the equation:
[tex]n^3\text{ = 19}[/tex]To do this, we simply have to find the cube root of both sides.
This means that we want to find a number such that multiplying it by itself three times will yield 19.
[tex]\sqrt[3]{n^3}\text{ = }\sqrt[3]{19}[/tex]19 does not have an integer as a cube root, so, solving that with tables/calculator:
[tex]n\text{ = 2.67}[/tex]That is the value of n.