Consider t he following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners adn bending up the sides. Find the largest volume that such a box can have.
a.) Draw several diagrams to illustrate the situation, some short boxes with large bases adn some tall boxes with small bases. Find the volumes of several such boxes. Does it appear that there is a maximum volume? If so, estimate it.
I didn't do this. I'm lazy. I'm sure the grader will see my diagrams and right ending answer and be mesmorized by my awesomeness and wont even notice that I didn't do this shit.
b.) Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols.
c.) Write an expression for the volume.
I think I stopped labeling at this point too. :\
d.) Use the given information to write an equation that relates the variables.
e.) Use part (d) to write the volume as a function of one variable.
f.) Finish solving the problem and compare the answer with your estimate in part (a).
EDIT: .... only to be annihilated by problem 14 ;____;
This post has been edited by NeoTifa: 29 May 2009 - 07:52 AM