Answer:614
Explanation:
The maximum number of boxes that can fit in the trailer can be calculated by dividing the volume of the trailer by the volume of each box.
First, we need to convert the dimensions of the boxes and the trailer to the same unit, such as cubic feet. The volume of each box is given by:
V_box = (1 1/2 ft)^3 = (1.5 ft)^3 = 3.375 ft^3
Next, we calculate the volume of the trailer:
V_trailer = 28 ft * 8 1/2 ft * 9 1/6 ft = 2070 ft^3
Finally, we divide the volume of the trailer by the volume of each box to find the maximum number of boxes:
N_boxes = V_trailer / V_box = 2070 ft^3 / 3.375 ft^3 = 614.07 boxes
Since we can only fit whole boxes in the trailer, the maximum number of boxes that will fit is 614.