A graphing calculator is recommended.

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 25 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure).

(a) Find a function that models the volume V of the box.
V(x) =
4x3−78x2+350

(b) Find the values of x for which the volume is greater than 240 in3.

(.834, 5.438)

(c) Find the largest volume that such a box can have. (Round your answer to three decimal places)

What is the answer to c?

Question

A graphing calculator is recommended.

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 25 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure).

(a) Find a function that models the volume V of the box.
V(x) =   
4x3−78x2+350


(b) Find the values of x for which the volume is greater than 240 in3.

(.834, 5.438)

(c) Find the largest volume that such a box can have. (Round your answer to three decimal places)

What is the answer to c?

anthonyym · Answer

I think you graph the function you found in part a? Just a guess

anonymous · Answer

thank you!!