SOLUTION: I've got this question: An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let
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Question 44025: I've got this question: An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a)Find the function V that represents the volume of the box in terms of x.
I've managed to come up with volume of the box is width x length x height = (6-2x)(8-2x)x. This is where it ends for me, I can't figure out how to solve it and I need to solve it, because I have to graph it.
b) Graph this function and show the graph over the valid range of the variable x.
PLEASE PLEASE HELP!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, you've a good start!
Now continue by multiplying the three factors here to get the equation for the volume, v, in terms of x.
Now you can graph this equation using a graphing calculator. The graph looks like this:
The valid range of x would be:
Because, if: or the volume would be zero or negative, and this is not meaningful.
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