Jessica has four small boxes that are the same size and one large box. Each of the four small boxes is 4 centimeters wide and 2 centimeters long. The large box has a volume of 96 cubic centimeters. Jessica puts the four small boxes into the large box. There is no space leftover.
To find the volume of each small box, we need to multiply the width, length, and height. Since the width and length of each small box is 4 cm and 2 cm respectively, the height must be 96 cubic centimeters / 4 small boxes = 24 cubic centimeters.
So, the volume of each small box is 4 cm * 2 cm * 24 cm = 192 cubic centimeters.
Since there are 4 small boxes, the total volume of the small boxes is 4 small boxes * 192 cubic centimeters = 768 cubic centimeters.
Since there is no space leftover in the large box, the volume of the small boxes must equal the volume of the large box.
Therefore, 768 cubic centimeters = 96 cubic centimeters.
This means that the large box can fit exactly 4 small boxes.