Question

L'Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing
shown is 7 boxes. What will be the length in boxes of the new drawing?.

Answer 1

To convert from a scale factor of 1 box = 6 meters to a scale factor of 1 box = 3 meters, we need to divide the length in the original drawing by the original scale factor and multiply it by the new scale factor.

Length in the original drawing = 7 boxes
Original scale factor = 6 meters per box
New scale factor = 3 meters per box

So, the length in boxes of the new drawing can be calculated as follows:

Length in boxes of the new drawing = (Length in the original drawing ÷ Original scale factor) × New scale factor
= (7 boxes ÷ 6 meters per box) × 3 meters per box
= (7 ÷ 6) × 3
≈ 3.5 × 3
= 10.5 meters

Therefore, the length in boxes of the new drawing will be approximately 10.5 boxes.

Answer 2

The actual answer is 14

Answer 3

Apologies for the incorrect calculation. Let's redo the calculation correctly.

Length in the original drawing = 7 boxes
Original scale factor = 6 meters per box
New scale factor = 3 meters per box

Length in boxes of the new drawing = (Length in the original drawing ÷ Original scale factor) × New scale factor
= (7 boxes ÷ 6 meters per box) × 3 meters per box
= (7 / 6) × 3
= 1.1667 × 3
= 3.5 boxes

Therefore, the length in boxes of the new drawing is approximately 3.5 boxes.