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

Question 322

Multiple Choice

Use an equation to solve the problem.
-A square of side xx 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 V\mathrm { V } as a function of xx .)


A) 1.71.7 inches by 1.71.7 inches
B) 1.81.8 inches by 1.81.8 inches
C) 1.61.6 inches by 1.61.6 inches
D) 1.41.4 inches by 1.41.4 inches

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