Answer:
Correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].
Step-by-step explanation:
Given that the dimensions of a box are x, 2x, and 3x.
Now each dimension is decreased by 2.
Then new dimensions of a box are (x-2), (2x-2), and (3x-2).
Now let's calculate the volume of the box which is given by
Volume = (Length) x (Width) x (Height)
[tex]=(x-2)(2x-2)(3x-2)[/tex]
[tex]=(2x^2-6x+4)(3x-2)[/tex]
[tex]=(2x^2-6x+4)(3x-2)[/tex]
[tex]=6x^3-22x^2+24x-8[/tex]
Hence correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].
