Use an Equation to Solve the Problem $x$ Inches Is Cut Out of Each Corner of an 8

Multiple Choice

Use an equation to solve the problem.
-A square of side $x$ inches is cut out of each corner of an 8 in. by 12 in. piece of cardboard, and the sides folded up to form an open-topped box. Use your graphing calculator to determine the dimensions of cut-out squares that will produce the box of maximum volume.
(Hint: you will first need to write the volume of the box $\mathrm { V }$ as a function of $x$ .)

A) $1.7$ inches by $1.7$ inches
B) $1.8$ inches by $1.8$ inches
C) $1.6$ inches by $1.6$ inches
D) $1.4$ inches by $1.4$ inches