I really can't figure out what this problem is telling me to do. I've tried for the last 20 minutes but I just don't know how to make the function and I don't know where to start. Please help!
* * *
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions
W inches by
L inches by cutting out equal squares of side
x at each corner and then folding up the sides. (
W =
14 in. and
L =
25 in).
(a) Find a function that models the volume
V of the box.
(b) Find the values of
x for which the volume is greater than
240 in
^{3}. (Give each answer correct to three decimal places.)
(c) Find the largest volume that such a box can have. (Round your answer to three decimal places.)
* * *
Thank you in advance for your help!