An open box is to be constructed by cutting out square corners of x

$-$inch sides from a piece of cardboard measuring $8$

inches by $8$

inches and then folding up the sides. Express the volume of the box as a function of x

$.$ Calculate the volume of the box when x$=7$

inches.

Select one:

A$.$

V$($x$)=4$x$^3+32$x$^2+64$x

$,$ Volume $=3388$

cubic inches

B$.$

V$($x$)=4$x$^364$x$^3+256$x

$,$ Volume $=6300$

cubic inches

C$.$

V$($x$)=4$x$^364$x$^3+256$x

$,$ Volume $=288$

cubic inches

D$.$

V$($x$)=4$x$^332$x$^2+64$x

$,$ Volume $=252$

cubic inches