# Volume of a Box made from a piece of paper

Four equally sized squares are cut from the corners of an 8.5 x 11 piece of paper, and the resulting flaps are folded up to form a box. What size square will make the box of largest possible volume?

- First drag the slider back and forth to see the squares change size.
- Then click the checkbox for ShowBox to see the resulting box. Again drag the slider back and forth. What side length appears to give the largest volume?
- Finally, click the checkbox for ShowGraph to see a graph of Volume versus side length. Use this graph to estimate the side length that gives the greatest volume? How close were you in your previous guess?

Download our apps here: