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Zorluk: OrtaScale Drawings

A hobbyist is building a scale model of a historic steam locomotive using a scale of 1:481:48. If the actual locomotive is 60 feet60\text{ feet} long, what is the length of the model locomotive in inches?

Cevap: 15 inches

Cevap

15
To find the length of the scale model, the actual length of the locomotive must first be converted into inches. Since there are 12 inches12\text{ inches} in a foot, 60 feet60\text{ feet} is equal to 720 inches720\text{ inches}. Using the scale ratio of 1:481:48, divide the actual length in inches by 4848 to find the model's length. Calculating 720÷48720 \div 48 yields a model length of 15 inches15\text{ inches}.

Adım Adım Çözüm

1
Convert the actual length of the locomotive from feet to inches.
60×12=720 inches60 \times 12 = 720\text{ inches}
The question asks for the model length in inches, so it is necessary to match the units before applying the scale factor.
2
Calculate the model length using the 1:481:48 scale ratio.
720÷48=15 inches720 \div 48 = 15\text{ inches}
The scale 1:481:48 means the model is 4848 times smaller than the actual object.

Anahtar Kavram

Applying scale ratios across different units of measurement.
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Scale Drawings

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