SOLUTION: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then fo

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Question 230282: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides.
a)Find a function that models the volume of the box
i got the answer V(x)=4x³-64x²+240x

b) Find the values of x for which the volume is greater than 200 in³.
c) Find the largest volume that such a box can have.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
v=x(12-2x)(20-2x)
v=x(240-40x-24x+4x^2)
v=x(4x^2-64x+240)
v=4x^3-64x^2+240x ans.
Using my trial & error method:
x=2.4274 in.
v=262.6822635 in^3