An open box is to be made out of a 6-inch by 16-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. Part 1: Find the volume of the open box as a function of x, where x represents the height of the open box. /\ V(3:) ='\x(62x)(162x) Part 2: Find the first derivative of the open box, with respect to x. /\ V'(a=) = (6 2x)[16 2x) 44x+8x2l Part 3: Find the dimensions of the resulting box that has the largest volume. /\ Dimensions of the bottom of the box: K J x U Height of the box: l | I Note: Round your answers to 3 decimal places