Laquan needs to convert the scale drawer from a scale factor of one box equals 6 M to a scale factor of one box equals 3 m the length and the scale drawn shown is seven boxes what will be the length in the box is the new drawing a 3.5 V2 c14 D12

Answer 1

To convert the scale from one box equals 6 meters to one box equals 3 meters, we need to determine how many boxes will represent the same length in the new scale.

1. Determine the total length represented by 7 boxes at the original scale (6 m per box): \[ \text{Length} = 7 , \text{boxes} \times 6 , \text{m/box} = 42 , \text{m} \]

2. Convert this length to the new scale (3 m per box): \[ \text{Number of boxes} = \frac{\text{Length}}{\text{Scale factor}} = \frac{42 , \text{m}}{3 , \text{m/box}} = 14 , \text{boxes} \]

So, the new drawing will have a length of 14 boxes. Therefore, the answer is 14.