Pregunta
Find the missing dimension. Use the scale factor \( 1 \mathrm{in}: 8 \mathrm{ft} \). 25. Model length: 6 in. 26. Model height: \( \quad \) Actual length:
Ask by Campos Dunn. in the United States
Jan 23,2025
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The actual length is 48 feet.
Solución
To find the missing dimension, we can use the scale factor provided. The scale factor is \(1 \text{ in} : 8 \text{ ft}\).
Given:
- Model length: 6 in
- Scale factor: \(1 \text{ in} : 8 \text{ ft}\)
We need to find the actual length.
Let's use the scale factor to find the actual length:
\[ \text{Actual length} = \text{Model length} \times \text{Scale factor} \]
Substitute the given values:
\[ \text{Actual length} = 6 \text{ in} \times 8 \text{ ft} \]
Now, we can calculate the actual length.
Calculate the value by following steps:
- step0: Calculate:
\(6\times 8\)
- step1: Multiply the numbers:
\(48\)
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Beyond the Answer
To find the actual length corresponding to the model length of 6 inches using the scale factor \( 1 \mathrm{in}: 8 \mathrm{ft} \), you multiply the model length by the scale factor. So, \( 6 \, \text{in} \times 8 \, \text{ft/in} = 48 \, \text{ft} \). Therefore, the actual length is 48 feet! Now, let's consider the height as well. The same scale applies, so if you know the model height in inches, you can find the actual height by simply multiplying it by 8 feet for each inch. Just remember, keeping track of the units is key!
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