A closed cardboard box is made with a square top and bottom, and a square horizontal shelf inside that divides the interior in half. A total of 9 square meters of cardboard is used to make the top, sides, bottom, and shelf of the box. What should the dimensions of the box be to maximize its volume?

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte