Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 3 inches
Convert this scale drawing of a bureau drawer so that it has a scale of 1 box = 6 inches. The length in the scale drawing shown is 8 boxes. What will be the length in boxes of the new scale drawing?
Since the original scale is 1 box = 3 inches, and the original length is 8 boxes, the original length in inches is 8 boxes * 3 inches/box = <<8*3=24>>24 inches.
To convert to a new scale of 1 box = 6 inches, we divide the original length in inches by the new scale: 24 inches / 6 inches/box = <<24/6=4>>4 boxes.
Therefore, the length in boxes of the new scale drawing will be 4 boxes. Answer: \boxed{4}.