Convert the scale drawing of a bureau drawer, so that has a scale of one box equals 6 inches the length and the scale drawing shown is eight boxes what will be the length and boxes of the new scale drawing one box equals 3 inches
To convert the scale drawing to a new scale where one box equals 3 inches, we need to multiply the length and number of boxes by a scale factor.
The scale factor is calculated by dividing the new scale (3 inches) by the original scale (6 inches):
Scale factor = 3 inches / 6 inches = 0.5
First, let's find the length of the new scale drawing.
Original length = 8 boxes * 6 inches/box = 48 inches
Now, we multiply the original length by the scale factor to find the length of the new scale drawing:
New length = 48 inches * 0.5 = 24 inches
Next, let's find the number of boxes in the new scale drawing.
Original number of boxes = 8 boxes
Now, we multiply the original number of boxes by the scale factor to find the number of boxes in the new scale drawing:
New number of boxes = 8 boxes * 0.5 = 4 boxes
Therefore, the length and number of boxes in the new scale drawing, where one box equals 3 inches, will be 24 inches and 4 boxes, respectively.