Question
6) A building has a height of 200 meters and a length of 126.5 meters. On a scale model of the building, every centimeter represents 22 meters. What is the length of the building on the model in centimeters?
Ask by Hodgson Pope. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The length of the building on the model is 5.75 centimeters.
Solution
To find the length of the building on the model, use the scale factor provided. Here, every 1 cm on the model represents 22 meters in real life.
The building’s actual length is 126.5 meters.
So, the model's length in centimeters is calculated by:
Model length = Actual length ÷ Scale factor
Model length = 126.5 ÷ 22
When you divide 126.5 by 22, you get:
126.5 ÷ 22 = 5.75
Thus, the length of the building on the model is 5.75 centimeters.
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Simplify this solution Mind Expander
To find the length of the building on the scale model, you'll need to divide the actual length by the scale factor. The actual length is 126.5 meters, and since every centimeter on the model represents 22 meters, the calculation would be: 126.5 meters ÷ 22 meters/cm = 5.759 cm. So, the length of the building on the model would be approximately 5.76 centimeters. Now, to make sure you're accurately using the scale, consider that your model should represent the proportions of the original structure. If you're working on multiple dimensions, always ensure that you're converting all measurements using the same scale—this keeps your model true to the original design!
