Abox with an open top is to be constructed from a rectangular piece of cardboard with dimensions w = 14 in. by l = 20 in. by cutting out equal squares of side x at each corner and then folding up the sides.

i found the function that models the volume v of the box
v(x) =4x^3-68x^2+280x

but i'm having trouble with finding the the values of x for which the volume is greater than 210 in^3. (round your answer to three decimal places.)

and finding the largest volume that such a box can have. (round your answer to three decimal places.)

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

you can use a^2+ b^2=c^2

the answer to your question is b.

52 \43 i don't know this i tried