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The Davidsons are moving into a new house and have rented a trailer to transport boxes for the move. They bought cardboard boxes, like the one shown, in which they will pack their belongings. The trailer has 180 cubic feet of cargo space. The height of the trailer is 7.5 feet and the width is 4 feet.The perimeter of the base of the trailer is 20 feet.
Write your answers on another piece of paper. Show all of your work to receive full credit.
If the boxes can be put in the trailer in any position, what is the greatest number of boxes that will fit in the trailer? How many boxes will fit in the trailer if each box must be loaded as shown in the image (with 2 feet as the height).