bases. Find the volumes of several such boxes. Does it appear that there is a maximum volume? If so, estimate it. Draw a diagram illustrating the general situation and introduce notation and label the diagram with your symbols. Write an expression for the volume. Use the given information to write an equation that relates the variables. Use this eq

Consider the 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 and bending up the sides. Find the largest volume that such a box can have. Draw several diagrams to illustrate the situation, some short boxes with large bases, and 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. Draw a diagram illustrating the general situation and introduce notation and label the diagram with your symbols. Write an expression for the volume. Use the given information to write an equation that relates the variables. Use this equation to write the volume as a function of one variable. Finish solving the problem and compare the answer with your estimated maximum volume. 

*please use handwriting not typing, I understand it better that way*

I know this looks like multiple parts, but this is literally one question from my testbook.