Question : If $x = 5.51, y = 5.52$, and $z = 5.57$, then what is the value of $x^3+y^3+z^3-3xyz$?

Option 1: 5.146

Option 2: 51.46

Option 3: 0.05146

Option 4: 0.5146

Question : If $x+y+z=10$, $x y+y z+z x=25$ and $x y z=100$, then what is the value of $(x^3+y^3+z^3)$?

Option 1: 450

Option 2: 540

Option 3: 550

Option 4: 570

Question : If $x+y+z=17, x y z=171$ and $x y+y z+z x=111$, then the value of $\sqrt[3]{\left(x^3+y^3+z^3+x y z\right)}$ is:

Option 1: –64

Option 2: 4

Option 3: 0

Option 4: –4

Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $\sqrt{x^3+y^3+z^3+x y z}$ is:

Option 1: 32

Option 2: 30

Option 3: 28

Option 4: 35

Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $x^3+y^3+z^3+x y z$ is:

Option 1: 1225

Option 2: 1441

Option 3: 361

Option 4: 577

Question : What will be the value of $x^{3}+y^{3}+z^{3}-3xyz$, when $x+y+z=9$ and $x^{2}+y^{2}+z^{2}=31?$

Option 1: 27

Option 2: 3

Option 3: 54

Option 4: 9