# calculus

posted by
**John** on
.

You have an 8.5 inch by 11 inch piece of paper. You need to cut out four squares in each corner of the box so you can fold the sides of the paper and create a volume for the box.

1. Write an equation that represents the volume of the box.

2. What is the domain of the volume equation for the box.

3.What is the range of the volume equation for the box.

4.What are the x intercepts of the volume equation.

5.How do you graph the volume equation and what should it look like.

6.What does the restricted domain mean and how do you find the restricted domain. Also, what does the restricted domain of the graph mean.

7.What does the restricted range mean and how do you find the restricted range. Also, what does the restricted range of the graph mean.

8.What is the dimensions of the 4 cut squares need to be to have the maximum volume for the box. Explain your results. Also, will these previous steps work for all type of material such as sheet metal and aluminum.