If an open box is made from a tin sheet 11 in

Question

If an open box is made from a tin sheet 11 in. square by cutting out identical squares from each corner and bending up the resulting flaps (see figure), determine the length of the side of the square at each corner that will maximize the volume of the resulting box.

11 − 2x

Let x be the length (in in.) of the side of the square at each corner.

x =  in. (Round your answers to two decimal places, if necessary.)

Complete the following parts.

(a)    Give a function f in the variable x for the quantity to be optimized.

f(x) = 

 

(b)    State the domain of this function. (Enter your answer using interval notation.)

Answer 1

V = length * width * height,

get the vaues from the diagram.