(1 point) An open box will be made by cutting a square from each corner of a 10 ft by 16 ft piece of cardboard and then folding up the sides. What size square should be cut from each corner in order to produce a box of maximum volume

2 feet

Step-by-step explanation:

We are given that

Length of piece,l=10ft

Width of piece,b=16ft

Let x be the side of square

Length of box=10-2x

Width of  box=16-2x

Height of box=x

Volume of box=lbh

Differentiate w.r.t x

Because when substitute the value x=20/3

Then, the width of box is negative which is not possible.

Substitute x=2

Hence, the volume is maximum at x=2

Side of square=2 feet

Hence, square of side 2 feet should be cut from each corner in order to produce a box of maximum volume.

c is the final answer! : )