Question

Scale factor: 1 box = 6 inches. Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?

Answer 1

To convert the scale factor and find the new length, calculate the actual length using the original scale and then divide by the new scale factor. The new length will be 5 boxes.

Step-by-step explanation:

Maisie needs to change a scale drawing from a scale factor of 1 box = 6 inches to a new scale factor of 1 box = 12 inches. If the original length is 10 boxes, we first determine the actual length by multiplying the number of boxes by the original scale factor: 10 boxes × 6 inches/box = 60 inches. To find the length in the new scale drawing, we divide the actual length by the new scale factor: 60 inches ÷ 12 inches/box = 5 boxes. Therefore, the length of the boxes in the new drawing will be 5 boxes.