Convert the unit of length. Use [tex]$1 m=100 cm$[/tex] and [tex]$1 m \approx 3.28 ft$[/tex]. Round the answer to one decimal place if necessary.
[tex]$160 cm \approx \frac{\square}{\square} \cdot \frac{\square}{\square} \cdot \frac{\square}{\square} \approx \frac{5.2}{ft}$[/tex]
Answer (2)
Convert 160 c m to meters: 160 c m = 100 160 m = 1.6 m .
Convert 1.6 m to feet: 1.6 m ≈ 1.6 × 3.28 f t = 5.248 f t .
Round the result to one decimal place: 5.248 f t ≈ 5.2 f t .
Therefore, 160 c m ≈ 5.2 f t .
Explanation
Converting cm to meters We are given that 1 m = 100 c m and 1 m ≈ 3.28 f t . We want to convert 160 c m to feet. First, we convert 160 c m to meters using the conversion factor 1 m = 100 c m .
Calculating meters To convert 160 c m to meters, we divide by 100: 160 c m = 100 160 m = 1.6 m
Converting meters to feet Next, we convert meters to feet using the conversion factor 1 m ≈ 3.28 f t . To convert 1.6 m to feet, we multiply by 3.28: 1.6 m ≈ 1.6 × 3.28 f t = 5.248 f t
Rounding to one decimal place Finally, we round the answer to one decimal place: 5.248 f t ≈ 5.2 f t
Final Answer Therefore, 160 c m ≈ 5.2 f t .
Examples
Imagine you're building a small model of a building, and the plans are in centimeters, but your ruler is in feet. Converting centimeters to feet helps you accurately measure and construct the model according to the plans. This conversion is also useful in various fields like construction, interior design, and even in daily life when comparing measurements from different sources.
To convert 160 c m to feet, we first convert it to meters, yielding 1.6 m . Then, using the conversion factor, we find that 1.6 m is approximately 5.2 f t . Thus, 160 c m ≈ 5.2 f t .
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