Question
Find the missing dimension. Use the scale factor \( 1 \mathrm{in}: 8 \mathrm{ft} \). 25. Model length: 6 in. 26. Model height: Actual length:
Ask by Vaughn Hilton. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
To find the actual length, multiply the model length by the scale factor. So, \( 6 \text{ in} \times 8 \text{ ft/in} = 48 \text{ ft} \). Without additional information, the model height cannot be determined.
Solution
To find the missing dimension using the scale factor \( 1 \text{ in} : 8 \text{ ft} \), we need to follow these steps:
1. **Identify the known values:**
- Model length = \( 6 \text{ in} \)
- Scale factor = \( 1 \text{ in} : 8 \text{ ft} \)
2. **Convert the model length to actual length:**
Since the scale factor indicates that 1 inch on the model corresponds to 8 feet in reality, we can calculate the actual length using the model length.
\[
\text{Actual length} = \text{Model length} \times \text{Scale factor}
\]
Substituting the known values:
\[
\text{Actual length} = 6 \text{ in} \times 8 \text{ ft/in}
\]
3. **Calculate the actual length:**
\[
\text{Actual length} = 6 \times 8 = 48 \text{ ft}
\]
Now, we have the actual length as \( 48 \text{ ft} \).
4. **Determine the model height:**
If we need to find the model height corresponding to a certain actual height, we would need that actual height value. However, if we are only asked for the model height without an actual height provided, we cannot calculate it without additional information.
If you have a specific actual height or any other information, please provide it so we can find the model height.
Reviewed and approved by the UpStudy tutoring team
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To find the missing dimensions using the scale factor of \( 1 \mathrm{in}: 8 \mathrm{ft} \), we note that each inch in the model represents 8 feet in reality. Thus, for the model length of 6 inches, the actual length would be \( 6 \mathrm{in} \times 8 \mathrm{ft/in} = 48 \mathrm{ft} \). Now, regarding the model height, if you have a specific height in mind, simply multiply the model height in inches by 8 to get the corresponding actual height in feet. If the model height isn't provided, it's the same logic—just remember, every inch in the model translates to 8 feet in real life!