To convert a scale drawing from 1 box = 4 centimeters to a new scale of 1 box = 2 centimeters, you'll need to double the dimensions of every part of the drawing. This is because the new scale decreases the number of centimeters represented by each box — effectively, each box now represents half the distance it did before.
Here's a step-by-step approach to create the new scale drawing:
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Measure Existing Dimensions: Determine the dimensions of your original drawing. For example, if the original drawing is 5 boxes long, it would be 5 boxes x 4 cm/box = 20 cm.
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Calculate New Dimensions: With the new scale, calculate how many boxes you would need. For the same 20 cm length with the new scale:
- \(20 , \text{cm} \div 2 , \text{cm/box} = 10 , \text{boxes}\).
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Reproduce the Drawing: Draw the same shapes or figures you had in the original drawing but now elongate or multiply their dimensions accordingly to fit within the new scale. For the above example, if there were shapes that were represented in 4 boxes (16 cm), you would now make them 8 boxes (32 cm) at the new scale of 1 box = 2 cm.
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Adjust All Elements Consistently: Make sure to scale all components of the drawing (height, width, and distance) according to the new scale.
This process should produce an accurately scaled version of your original drawing that corresponds with the new scale of 1 box = 2 centimeters.
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